I can't figure this one out. I've got 2 videos that I've encoded with Handbrake. Now Handbrake seems to be pretty insistent on encoding as VFR, but I think I've finally found all the right settings and have it spitting out CFR video again. So I've encoded 2 videos that are CFR, and when I join them with MyMP4Box GUI, they come out as VFR.

How do I fix this?

Original Video 1
HTML Code:
General
Complete name                    : C:\WP\Vids\2MOV002-3.mp4
Format                           : MPEG-4
Format profile                   : Base Media / Version 2
Codec ID                         : mp42
File size                        : 171 MiB
Duration                         : 13mn 18s
Overall bit rate                 : 1 798 Kbps
Encoded date                     : UTC 2011-06-08 15:12:17
Tagged date                      : UTC 2011-06-08 15:36:00
Writing application              : HandBrake 0.9.5 2011010300

Video
ID                               : 1
Format                           : AVC
Format/Info                      : Advanced Video Codec
Format profile                   : High@L3.0
Format settings, CABAC           : Yes
Format settings, ReFrames        : 4 frames
Codec ID                         : avc1
Codec ID/Info                    : Advanced Video Coding
Duration                         : 13mn 18s
Bit rate mode                    : Variable
Bit rate                         : 1 601 Kbps
Width                            : 720 pixels
Height                           : 480 pixels
Display aspect ratio             : 16:9
Original display aspect ratio    : 16:9
Frame rate mode                  : Constant
Frame rate                       : 29.970 fps
Standard                         : NTSC
Color space                      : YUV
Chroma subsampling               : 4:2:0
Bit depth                        : 8 bits
Scan type                        : Progressive
Bits/(Pixel*Frame)               : 0.155
Stream size                      : 152 MiB (89%)
Writing library                  : x264 core 112
Encoding settings                : cabac=1 / ref=3 / deblock=1:0:0 / analyse=0x3:0x113 / me=hex / subme=7 / psy=1 / psy_rd=1.00:0.00 / mixed_ref=1 / me_range=16 / chroma_me=1 / trellis=1 / 8x8dct=1 / cqm=0 / deadzone=21,11 / fast_pskip=1 / chroma_qp_offset=-2 / threads=3 / sliced_threads=0 / nr=0 / decimate=1 / interlaced=0 / constrained_intra=0 / bframes=3 / b_pyramid=2 / b_adapt=2 / b_bias=0 / direct=1 / weightb=1 / open_gop=0 / weightp=2 / keyint=300 / keyint_min=29 / scenecut=40 / intra_refresh=0 / rc_lookahead=50 / rc=crf / mbtree=1 / crf=20.0 / qcomp=0.60 / qpmin=3 / qpmax=51 / qpstep=4 / ip_ratio=1.40 / aq=1:1.00
Encoded date                     : UTC 2011-06-08 15:12:17
Tagged date                      : UTC 2011-06-08 15:36:00
Color primaries                  : BT.601-6 525, BT.1358 525, BT.1700 NTSC, SMPTE 170M
Transfer characteristics         : BT.709-5, BT.1361
Matrix coefficients              : BT.601-6 525, BT.1358 525, BT.1700 NTSC, SMPTE 170M

Audio
ID                               : 2
Format                           : AAC
Format/Info                      : Advanced Audio Codec
Format profile                   : LC
Codec ID                         : 40
Duration                         : 13mn 18s
Bit rate mode                    : Variable
Bit rate                         : 192 Kbps
Maximum bit rate                 : 233 Kbps
Channel(s)                       : 2 channels
Channel positions                : Front: L R
Sampling rate                    : 48.0 KHz
Compression mode                 : Lossy
Stream size                      : 18.3 MiB (11%)
Encoded date                     : UTC 2011-06-08 15:12:17
Tagged date                      : UTC 2011-06-08 15:36:00
Original Video 2
HTML Code:
General
Complete name                    : C:\WP\Vids\2MOV001-1.mp4
Format                           : MPEG-4
Format profile                   : Base Media / Version 2
Codec ID                         : mp42
File size                        : 9.75 MiB
Duration                         : 35s 29ms
Overall bit rate                 : 2 336 Kbps
Encoded date                     : UTC 2011-06-08 15:10:53
Tagged date                      : UTC 2011-06-08 15:12:06
Writing application              : HandBrake 0.9.5 2011010300

Video
ID                               : 1
Format                           : AVC
Format/Info                      : Advanced Video Codec
Format profile                   : High@L3.0
Format settings, CABAC           : Yes
Format settings, ReFrames        : 4 frames
Codec ID                         : avc1
Codec ID/Info                    : Advanced Video Coding
Duration                         : 34s 935ms
Bit rate mode                    : Variable
Bit rate                         : 2 144 Kbps
Width                            : 720 pixels
Height                           : 480 pixels
Display aspect ratio             : 16:9
Original display aspect ratio    : 16:9
Frame rate mode                  : Constant
Frame rate                       : 29.970 fps
Standard                         : NTSC
Color space                      : YUV
Chroma subsampling               : 4:2:0
Bit depth                        : 8 bits
Scan type                        : Progressive
Bits/(Pixel*Frame)               : 0.207
Stream size                      : 8.93 MiB (92%)
Writing library                  : x264 core 112
Encoding settings                : cabac=1 / ref=3 / deblock=1:0:0 / analyse=0x3:0x113 / me=hex / subme=7 / psy=1 / psy_rd=1.00:0.00 / mixed_ref=1 / me_range=16 / chroma_me=1 / trellis=1 / 8x8dct=1 / cqm=0 / deadzone=21,11 / fast_pskip=1 / chroma_qp_offset=-2 / threads=3 / sliced_threads=0 / nr=0 / decimate=1 / interlaced=0 / constrained_intra=0 / bframes=3 / b_pyramid=2 / b_adapt=2 / b_bias=0 / direct=1 / weightb=1 / open_gop=0 / weightp=2 / keyint=300 / keyint_min=29 / scenecut=40 / intra_refresh=0 / rc_lookahead=50 / rc=crf / mbtree=1 / crf=20.0 / qcomp=0.60 / qpmin=3 / qpmax=51 / qpstep=4 / ip_ratio=1.40 / aq=1:1.00
Encoded date                     : UTC 2011-06-08 15:10:53
Tagged date                      : UTC 2011-06-08 15:12:06
Color primaries                  : BT.601-6 525, BT.1358 525, BT.1700 NTSC, SMPTE 170M
Transfer characteristics         : BT.709-5, BT.1361
Matrix coefficients              : BT.601-6 525, BT.1358 525, BT.1700 NTSC, SMPTE 170M

Audio
ID                               : 2
Format                           : AAC
Format/Info                      : Advanced Audio Codec
Format profile                   : LC
Codec ID                         : 40
Duration                         : 35s 29ms
Bit rate mode                    : Variable
Bit rate                         : 192 Kbps
Maximum bit rate                 : 219 Kbps
Channel(s)                       : 2 channels
Channel positions                : Front: L R
Sampling rate                    : 48.0 KHz
Compression mode                 : Lossy
Stream size                      : 821 KiB (8%)
Encoded date                     : UTC 2011-06-08 15:10:53
Tagged date                      : UTC 2011-06-08 15:12:06
Joined Video
HTML Code:
General
Complete name                    : C:\WP\Vids\Joined.mp4
Format                           : MPEG-4
Format profile                   : Base Media
Codec ID                         : isom
File size                        : 181 MiB
Duration                         : 13mn 53s
Overall bit rate                 : 1 821 Kbps
Encoded date                     : UTC 2011-06-07 16:38:04
Tagged date                      : UTC 2011-06-07 16:38:04
Writing application              : My [url=https://www.videohelp.com/tools/MP4Box]MP4Box[/url] GUI 0.5.5.4 <http://my-mp4box-gui.zymichost.com>

Video
ID                               : 1
Format                           : AVC
Format/Info                      : Advanced Video Codec
Format profile                   : High@L3.0
Format settings, CABAC           : Yes
Format settings, ReFrames        : 4 frames
Codec ID                         : avc1
Codec ID/Info                    : Advanced Video Coding
Duration                         : 13mn 53s
Bit rate mode                    : Variable
Bit rate                         : 1 624 Kbps
Width                            : 720 pixels
Height                           : 480 pixels
Display aspect ratio             : 16:9
Original display aspect ratio    : 16:9
Frame rate mode                  : Variable
Frame rate                       : 29.970 fps
Minimum frame rate               : 29.920 fps
Maximum frame rate               : 30.040 fps
Standard                         : NTSC
Color space                      : YUV
Chroma subsampling               : 4:2:0
Bit depth                        : 8 bits
Scan type                        : Progressive
Bits/(Pixel*Frame)               : 0.157
Stream size                      : 161 MiB (89%)
Writing library                  : x264 core 112
Encoding settings                : cabac=1 / ref=3 / deblock=1:0:0 / analyse=0x3:0x113 / me=hex / subme=7 / psy=1 / psy_rd=1.00:0.00 / mixed_ref=1 / me_range=16 / chroma_me=1 / trellis=1 / 8x8dct=1 / cqm=0 / deadzone=21,11 / fast_pskip=1 / chroma_qp_offset=-2 / threads=3 / sliced_threads=0 / nr=0 / decimate=1 / interlaced=0 / constrained_intra=0 / bframes=3 / b_pyramid=2 / b_adapt=2 / b_bias=0 / direct=1 / weightb=1 / open_gop=0 / weightp=2 / keyint=300 / keyint_min=29 / scenecut=40 / intra_refresh=0 / rc_lookahead=50 / rc=crf / mbtree=1 / crf=20.0 / qcomp=0.60 / qpmin=3 / qpmax=51 / qpstep=4 / ip_ratio=1.40 / aq=1:1.00
Encoded date                     : UTC 2011-06-08 15:10:53
Tagged date                      : UTC 2011-06-07 16:38:16
Color primaries                  : BT.601-6 525, BT.1358 525, BT.1700 NTSC, SMPTE 170M
Transfer characteristics         : BT.709-5, BT.1361
Matrix coefficients              : BT.601-6 525, BT.1358 525, BT.1700 NTSC, SMPTE 170M

Audio
ID                               : 2
Format                           : AAC
Format/Info                      : Advanced Audio Codec
Format profile                   : LC
Codec ID                         : 40
Duration                         : 13mn 53s
Bit rate mode                    : Variable
Bit rate                         : 192 Kbps
Maximum bit rate                 : 219 Kbps
Channel(s)                       : 2 channels
Channel positions                : Front: L R
Sampling rate                    : 48.0 KHz
Compression mode                 : Lossy
Stream size                      : 19.1 MiB (11%)
Encoded date                     : UTC 2011-06-08 15:10:53
Tagged date                      : UTC 2011-06-07 16:38:16