When talking to someone, if you avoid the subject, you keep the conversation away from a. To prevent something from happening or to not allow. Escape, avoid, evade, elude, shun, eschew mean to get away or keep away from something.
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To stay away from someone or something: If you avoid a person or thing, you keep away from them. To make void or of no effect;.
Escape stresses the fact of getting away or being passed.