We have a deal and this deal means that there was no need for any kind of palliation.

我们达成一个协议，这个协议意味着没有任何缓和的必要。

I took others' discomfort for granted and the only palliation of my social sin is that I took my own so, too.

我认为别人的不适是理所当然的，而我的社会罪恶的唯一缓和方法就是我也这样认为。

She could neither wonder nor condemn, but the belief of his self-conquest brought nothing consolatory to her bosom, afforded no palliation of her distress.

她丝毫不觉得诧异，也不怪别人。她即使姑且认为他愿意委曲求全，也未必就会感到安慰，未必就会减轻痛苦。