Converting Logic Project to mp3- Without Logic?

Hey,

A few years back I had Logic Pro, I can't remember which version but it was in 2010/11, and I think the newest. I created a project on there, spent a lot of time on it, but being the idiot I am only backed up the project file at the end - I have no copy of an mp3 export. I've since moved out, got a new computer, and lost the old copy of logic I had. Is there any way I can retrieve the audio file from what I have?

I've got the project folder backed up, with a documentData, displayState and windowImage available.

Any help is appreciated!

Thanks,

Jack