Last I checked, both Kelly and Craig owned their property, their houses, etc. They both have power of attorneys looking into everything for them, and makng sure they still get whatever was promised for them regarding their contracts, the rental properties, and anything else.
Of course, they will need money to pay for the cost of the trails, thus things may need to be put on the market eventually, as the houses they purchased have significantly gone up in value.
There is no government auction.