Removing Sounds from Two Near Identical Soundtracks

Is it possible (using Audacity obviously) with two or more soundtracks with the identical music and different sounds in the background, to remove those background sounds?
Thanks in advance,
from CoolJRT.

No. If the music is identical in all tracks, then simply adding them together (mixing) and then normalizing (amplifying) the volume back down to a normal level will reduce the level of any noises that exist on only one track. If the tracks are “very similar” but not “identical” then this will not work and will probably cause weird “phasing” effects.

Thanks, Steve.