This grammar pattern, having similar to ‘even though’, means the result from the first clause would not happen in the second clause even if one presumes that the state or action in the first clause would happen.
● 힘들어도 최선을 다하세요. (Do your best even though it’s hard.)
● 제 아버지는 밥을 많이 먹어도 살이 안 쩌요. (My father doesn’t get fat even though he eats a lot.)
● 아무리 아파도 회사는 가야 해요. (I have to go to work no matter how much I’m sick.)