Real Estate Law
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No, it appears that you would not be responsible for an additional months rent. Your duty to give 60 days notice at the end of the lease would be eliminated by the landlord failure to give you the five day notice prior to the 60 days before the contract ended. Therefore, neither requirement of the 60 day notice from you, or the five day notice from the landlord was followed, and the lease simply ran out at the end of the stated term.