The property will sell if you price it agressively enough. Forget the $725k from 2005; your house probably isn’t worth that now and it probably won’t be worth that again any time soon. It could be 10 years before that $725k comes back, maybe even longer.
If you can handle paying the existing mortgage you might be able to “buy” your spouse off with other investments, pulling cash out of your retirement accounts, borrowing from a parent or the like.
Other than that you’ll probably be compelled sell.
