An Ordinance of the Township of Hillsborough Amending Chapter 188 of the Hillsborough Township. A sublet, or sublease agreement, adds someone new to an existing lease.Usually the new person (subletter) replaces someone who is moving out. In Hillsborough County, you can rent out your property for seven nights or less - if it falls within an approved commercial or residential zone. The landlord chooses whether or not to allow this type of agreement. "Cause" means there is some reason to end the lease before it expires. When a mortgage is paid in full, the owner has. It does not amount to a complete reconstruction (i.e. Whether you're a renter or a landlord, you have certain rights and responsibilities when entering into a lease agreement.