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Hello. I will be assisting you with your questions this evening.
I have reviewed the lease.
First, according to the lease, you are able to raise rents on the tenant.
Secondly, the only way you would be able to get the tenant out of the home (aside from everything else that you have already tried) would be if you caught him breaching the lease and evicted him.
Here's the issue. The lease that the tenant signed with you says that he agrees that you can raise rent on him with 60 days notice. You would technically be within your rights according to the lease.
However, you would be rolling the dice because no one will be able to tell you with any kind of certainty how the courts would interpret the lease. What I can tell you with certainty is that there will be a legal battle if you decided to raise the rent. If your goal is to avoid a legal battle, I would not raise the rent.
Again, per the lease, you have the right to do it. Will the tenant fight you? Most likely. Would a court uphold it? The answer is that depends.