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To prevail, you would probably have to start a civil suit to "quiet title" or to claim the right to enforce a contract to put you on the title. Usually, a sale of land/real estate must be in writing to be valid. But sometimes, a verbal agreement can become valid if it is performed or partially performed, as in your case where you contributed substantial capital to the real estate.
An unlawful detainer commissioner or judge cannot adjudicate your contract rights. That is why it is important that you file a separate case asserting a contractual right to the property and asking a court to "quiet title" in your favor by adding your name to the title.
Even if you are evicted, you can still do the quiet title action to ask for your portion of the equity in the property, if any.
Quieting title or suing on contractual rights is not simple. If you can do a demurrer, it is possible you can do this on your own, but it is usually better to hire an attorney to at least do the paperwork, if not represent you in court.
Do you have any other questions?
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