This is the 11681st most frequent Korean word.
남아있다
"To remain" or "to be left."
Here, '남아있다' is used to express that some time remains or is left over.
아직 시간이 남아있다.
There is still time left.
In this context, '남아있다' refers to something (a book) remaining at a place (inside the bag).
가방 안에는 책이 남아있다.
A book is still inside the bag.
Here, '남아있다' conveys the idea of an emotion or memory persisting in a metaphorical sense.