It's difficult to generalize. All spirits are different just as they were in life. Some people can face the worst tragedy and are able to move on in a surprisingly short time while other people may have the same tragedy, completely fall apart and can never move on.

In both cases the next phase is eventually reached. Some murdered spirits may move on quickly while others linger for years or they may be drawn back from time to time but I think eventually all will pass into the next phase.