How can i play songs that have been purchased off of Itunes on a different account?

I have a new apple account and everything with that account has worked fine but i also had an old AOL account on Itunes on which i purchased music but now i can't play those songs because Itunes says i need to update my account to an apple account, which I did, but i still can't access those songs and after contacting apple I was still not able to get onto this old account so I was hoping there was another way I could authorize these songs or byp the Itunes authorization altogether.