As I tell anyone asking for legal opinions on internet blogs, ‘enlist the help of an attorney or real estate professional in the state where that property is located to give you legal advice for your specific situation.’ Call any real estate agent near the property and they will help you find the answer to this question, since if you have the ability to sell they have the opportunity to earn a commission.
The most confusing part of your post is the assertion that your “Ex-partner owns half of the house but not on paper. Title is in my name only.” This most likely shows a misunderstanding of who owns the rights to the real estate, including the right to sell. You need to tell your legal adviser whether you have any written agreements with your ex-partner, e.g. a lease, a deed, or a written agreement to split the profits, etc.
Let’s just take one scenario. An owner with the right to sell a property has a tenant that lives in the property. They sell the property. The new owner now owns a property with a tenant. What if the new owner’s intent was to occupy the property immediately after purchasing it and didn’t know there was a tenant. The legal definition of this is “a mess” and possible lawsuit.