to escape or evade responsibility; to avoid being held accountable (usually negative connotation).
彼は証拠を隠して責任を逃れようとしたと非難された。
He was accused of trying to evade responsibility by hiding evidence.
法的な抜け道を使って責任を逃れるのは容易ではない。
It's not easy to avoid responsibility by exploiting legal loopholes.
いいわけを重ねて責任を逃れるのは信頼を失うだけだ。
Making repeated excuses to escape responsibility only causes you to lose trust.