What Emotive said will be fine if you don't mind footage speed up (audio sync wouldn't be a problem if you add
sync_audio=true, but that would get sped up too). Otherwise, here are other solutions:
Since a frame is doubled every 4, the motion will stutter - this will be especially noticeable on pans or scenes with all unique frames. An alternative solution could be decimating your 29.97 footage to 23.976 if you wish, but technically the best thing to do... I think it would be to edit at 60 or 120 fps and then letting avisynth output timecodes and encoding as a vfr mkv.
EDIT: I'll also through in there a potential frame interpolation with twixtor or whatever, though it tends to look bad with anime. If you're using CG or LA, though, it should look pretty good.
(Also, I left out frame blending with convertfps because it just looks ugly... but it's another solution.)