My landlord failed to repair my sliding window, so I brought my mom's dog to my apt to hopefully safe-keep my belongings. The landlord has continued to fail to repair the problem and have since seen the dog. Now I have been given and eviction notice or get rid of the dog and pay $50 per day since being served the notice. If I choose to leave instead of getting rid of the dog, do I have to pay rent until the end of my lease?

If you fail to get rid of the dog, the landlord will proceed with eviction. Yes... you will be responsible for the remainder of the lease or until the landlord gets a new tenant. If you had a problem with the window, you should have followed proper procedures as outlined in your local landlord/tenants law... not get a dog.

You may or may not have to pay rent until the end of your lease. When your landlord gave you the eviction notice, was it a "Notice Terminating Lease"? If so then the landlord has terminated your lease and you are not responsible for any rent after you move out.

If the notice did not say that the lease was terminated then you will be responsible for the rent after you move out.

The issue is you were given a choice. You are not being summarily evicted. So if you choose to leave you are breaking the lease.