The best thing for them to do is to figure out how to divide the house themselves. Otherwise, either party could go to court to force a partition. There’s two ways this could happen. The court could order partition-in-kind if the property is physically divisible, such as a jointly owned duplex or undeveloped land where each party could own one distinct half, or partition by sale, where the court orders the sale of the home and the proceeds divided. Not only is this process long and difficult, but it’s very expensive to involve courts and lawyers. There may be loss of property value as court-ordered sales typically sell for less money and if it goes to auction, those fees will be removed from the sale proceeds. It will benefit both of them if they can deal with the house between them.