Having the Constraints Doesn't Tell You How to Find a Solution, Right?

The three body problem is only solvable in the newtunian case rate. If you have like three stars orbiting each other, then pretty quickly two of them will eject the third one out into the universe. There are not very many stable solutions to the three body problem. This different from, like, can human mathematicians write down a simple formula to predict what will happen? That's one question. Another question is, how long can three stars orbit each other before two of them kick out the other one?