To remove (blame, distrust or unfriendly laughter) by good conduct; cause (a mistake or fault) to be forgiven or forgotten by not repeating it.
Искупить (оскорбление, вину) хорошим поведением; сделать так, что допущенная ошибка или промах будут прощены или забыты.
Frank was rather a bad boy, but he lived it down as he grew up.
John's business failure hurt him for a long time, but in the end he lived it down.
Sandra called her principal the wrong name at the banquet, in front of everyone, and she thought she would never live it down.
You can never live this down!
Тебе этого никогда не искупить!