취해 있고

is drunk and

→ 취하다
phrase Rare #20,524
is drunk and 취해 있다 describes being in a state of intoxication; -고 connects it to what follows. 취하다 can also mean “take” in other contexts.
KO: 그는 술에 취해 있고 집에 가고 싶어 해요.
EN: He is drunk and wants to go home.