This is the 1853rd most frequent Russian word.
остаются
"Остаются" means "remain" or "stay" (third person plural).
The word 'остаются' in this sentence means 'stay', referring to people remaining in a location.
Люди остаются в парке до позднего вечера.
People stay in the park until late evening.
'Остаются' here means 'remain', describing the state of the leaves as unchanged.
После дождя листья остаются влажными.
After the rain, the leaves remain wet.
In this sentence, 'остаются' means 'remain', indicating that questions stay in an unanswered state.