Real Estate Rental What is the legal status of the terms and conditions in a…

Real Estate Rental
What is the legal status of the terms and conditions in a rental lease Agreement when the Agreement expires by its terms and the parties continue to abide by the terms of the expired lease? Can the parties be held legally responsible for lease conditions such as amount of rent, termination of rental time, security deposits, etc.
The lease make no references that would address these types of situations.
Thanks for your help!