Real Estate Law
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You do have rights, under New Jersey law, under the theory of adverse possession. That means that the true owners knew you were occupying the premises and did not object; therefore, they have no right to object now because you have been there long enough. They would have to permit you to stay or else buy out your interest for whatever price you can negotiate or not leave at all.
Please rate 4 or 5 and close out the question. Good luck to you. I wish you all the best.