Can two different sound waves merge into one new sound wave?

Not “merge” but they can interfere: Interference of Sound Hence if you play two different notes, they will interfere with each other and depending on the phase, frequency (difference) of the waves and their amplitude they will give out. read more

Yes, the Phenomena is called Interference. Superimposing sound waves • Depending on your relative distance from two identical sound sources, the sound intensity can vary. read more

The human ear, of course, separates the sound wave into discrete frequencies anyways, but that's sort of irrelevant because the actual pressure changes are the same for the separate and together'd sound waves. This is all ignoring any effects that would mess up the simplicity like doppler effect and different distances to the sources. read more

Not “merge” but they can interfere: Interference of Sound. Hence if you play two different notes, they will interfere with each other and depending on the phase, frequency (difference) of the waves and their amplitude they will give out. read more

1 ] Generally speaking, and with some degree of approximation, yes: sound waves "merge" into a more complex sound wave and nothing special happens, as the resulting wave is nothing but the sum of the two original waves. read more