Previous Landlord's Lease

[Jesse Allison]

I just closed on my second multi-family rental in Ohio. All three units are occupied, so I edited my lease to recreate the same terms as the leases they had signed with the previous landlord. My lease is more detailed and lengthier than the previous Landlord's, and for this reason one tenant wants to remain under the previous lease instead of signing mine. Do I have any obligation to allow him to do this? And how have you handled the purchases of occupied investment properties?  Thanks for your input!