1031 Exchange to 2 properties after divorce - Question

[Joshua James]

Hello,

So my ex-wife and I kept a Single Home rental in Central Oregon during and after our divorce. Unfortunately had to sell our Duplex in pendency of the divorce, which was cash-flowing wonderfully. We kept the single home property because we got zero offers during our divorce and were asking $30k less than we paid originally. We decided to rent it out instead and wait until the market went up to try and sell again. 

My question is: Once we sell, is it possible to 1031 exchange into 2 different properties, but each go into our own property without each-other's names on the other persons mortgage?

I'm also open to any suggestions.

Thanks!

-Josh