put up with sth/sb 忍受，忍耐。= to accept or continue to accept an unpleasant situation or experience, or someone who behaves unpleasantly
扩展 put up sth 进行（反对或抵抗）。= to show or express a particular type of opposition to something

【例句】
I can put up with the house being messy, but I hate it if it's not clean.
房子凌乱我能忍受，但我讨厌房子不干净。

They have a lot to put up with (= they have a lot of difficulties).
他们遇到了很多困难。