What you purchased with your money is yours, no matter where it is.. what your partner purchased with their own money is theirs, no matter where it is. (Barring items that were gifted to the other party. Whomever received a gift retains ownership)
the item being in you home makes no difference
so, that leaves items bought with combined funds
both of you own the property. If you can’t agree who gets what, you can sue the other party for your share of the depreciated value of the item and they can do the same.