And it's not like both of these sides don't have an almost endless variety of languages...
Whenever one group of humans has met another, it has rapidly become apparent to both parties that the other has a language, no matter how long the ancestors of the two groups have been isolated from one another. Given how long humans and chimpanzees have been coexisting, if they had comparably effective language skills, it is implausible that either party has not recognized it in the other.