Florida - Termination of lease for multiple months late rent py?

[S Harper]

I am managing a property in FL that was purchased with a tenant mid lease (no sale of property clause). 1st month - tenant paid after 3 day notice was posted. 2nd month - tenant still hasn't paid, but anticipating she will pay before 3 day notice is finished or within a day or two, so before an eviction can get processed. 

Question is this - has anyone terminated a lease for repeatedly violating terms the lease (rent due date) within a 12 month period? 

There is a state statute that discusses a tenant receiving written notice of a curable lease violation, then violating that same curable lease violation within a 12 month period being cause for a landlord to terminate the lease.  The examples provided do not include late rent notices, but I didn't see anything excluding it. 

Thanks