Avoidants will come into your life because you offer everything they are searching for. As soon as the connection becomes deeper they slowly pull away. They make the same qualities that made them fall for you the problem. They pull back affection and intimacy. Sometimes so much so that you have no other option but to leave. Other times they wait until you have a reaction to their shitty behavior and use that as their exit strategy. They also share many similarities with narcissists.