This is the 10584th most frequent Polish word.
doczekali
"Doczekali" means "they lived to see" or "they waited until."
Here, 'doczekali' is a past tense verb expressing that the subject successfully endured waiting to achieve some awaited event.
W końcu doczekali się upragnionych wyników.
Finally, they awaited the desired results.
In this sentence, 'doczekali' indicates the completion of the action of waiting for a significant moment to come.
Doczekali momentu, kiedy wszystko się wyjaśniło.
They awaited the moment when everything became clear.
This use of 'doczekali' conveys having reached a point in time where a long-desired outcome is fulfilled.