Do I owe my landlord rent for both this and next month if I paid last months rent?

Question Details: I'm currently renting but am in the process of buying a house. The offer has been accepted; I just need to get it inspected and sign closing papers. My lease says it ends 10/31 and we already paid last months rent when we began the lease. Do I still owe rent for October and November since it will take another 2 weeks, 11/10 to completely move out? The house is going to be inspected on Tuesday then the report will be ready by the next day. The closing date is 11/19, however we are trying to close and move out by 11/10.

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