IF this new video is really 24fps and the audio was sync'ed to the old video which contained the same frames but at a rate of 24/1.001fps, then assumefps will do what you want it to. It basically spreads the exact same frames over a different time span (1.001 times longer in this case), with no duplicates, drops or blends.
PS you should really use assumefps(24000,1001) instead of assumefps(23.976)
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Sorry I had to go see about a girl
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