*Warning - Long response*
On my first HH I had a similar situation I inherited two tenants (one is still renting from us) and the other had a German Shepherd would not answer the phone/email and did not pay rent and the unit was pretty rough from their way of living. I purchased the property in Dec. of 2020 and their lease was up Feb. 1st 2021 (I had 90 days to occupy the property after closing, so I needed to move in by March). I mailed them a tenancy termination letter 60 days prior to the lease expiration and never heard anything back, about 30 days out tried to contact and still no response... (they have still not paid rent for January) so I sent the following paraphrased text a few days later...
"Rent is now 13 days late, I have tried to communicate with you and have not had any luck, I was willing to work something out with you e.g. drop the late fee, a payment plan, etc. but you have not communicated with me. This is my last attempt to communicate and work something out or I will be forced to get my attorney involved (make it clear this is not the route you want to take as evictions are long, draining, and go on their record making it difficult to rent) I added... If you leave the property by the lease expiration date AND leave the property clean and in as good condition as you found it I will not charge rent for Jan. and I will return the security deposit in full" I made the offer contingent on them responding to my message.
They ended up leaving the property cleaned (even mopping the floor) and told me that I could keep the SD to cover unpaid rent. It does take a hit to your ego as you think "I need to be the big bad landlord and make them pay me or else" but when you take a step back if I would've taken the eviction route it would've been a long process (Plus covid was just starting up), an expensive process, and they probably would've left the property trashed. Taking this route not only makes it easier on you, but also shows your tenants that you care about them and are willing to be flexible, but not taken advantage of.
So my advice to you is to communicate with them an figure out how you can assist them, maybe help find them a new place to rent or find out what would motivate them to move out sooner (cash for keys, etc.)
Hopefully this helps and please feel free to reach out if you have any questions!
Best,