In Ohio, a lease only needs to contain a few things to be legally sufficient. As long as the contract identifies the landlord, tenant, property and material terms of the lease and is agreed to by both parties, it’s a valid document.
“Material terms” in Ohio means the terms necessary to the agreement. In the case of a lease, this means terms required for the landlord or tenant to fulfill their obligations to one another. The amount of rent due, how often it’s due and how it’s to be paid are all necessary terms (especially if you’re the landlord).
If your rental agreement has these terms along with the duration of the lease, it’s probably legally sufficient in Ohio.