"닿을 줄을 모르는 길" => The road that never reaches its destination => The road that never seems to get anywhere 줄 is a noun here, but doesn't mean "line" as you took it. 줄 has another very widely used meaning which is "an ability, tendency, know-how (to do something)". * 나 수영할 줄 몰라: I don't know how to swim. * 그칠 줄 모르는 비: The rain that doesn't know how to stop => The rain that never seems to stop. * 닿을 줄 모르는 길: The road that never reaches its destination / never gets anywhere. 닿을 is from 닿다 (touch something, reach a destination), meaning "목적지에/어딘가에 닿을/도달할" . So the whole thing may be translated as: The wave [tide] of loneliness, and the road that never seems to get anywhere ("the road" is an often used metaphor for life's journey, so she is speaking of her tiring and endless journey)