A grammar point I first came across in the Complete Guide to the TOPIK: Intermediate, V+(으)면서도 is used to describe a situation where two things a contrary or conflicting to each other.
영화는 재미있으면서도 슬펐어요.
The film was funny yet sad.
김밥이 싸면서도 맛있어요.
Kimbap is cheap but delicious.
서로 좋아하면서도 공부를 해야하기 때문에 사귀지 않아요.
We like each other but aren’t dating as we have to study.