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As a Realtor doing a "leaseback" is a BAD BAD BAD idea ... you could wind up with squatters who can take months to evict and/or who could damage the property and take months/years in court to get a judgement if you even can get one.    If they need that much more time to move I highly suggest you push back the closing until they can vacate. I highly recommend you seek legal council from a real estate attorney before agreeing to this situation.