User:Geniushyesoo/sandbox

I want to know what this sentence below means and how structured this sentence is. Could you give me a hand? I have been studying English with English articles.

Demings said the Graves were distraught yet relieved that this was not a protracted search.-CNN news-

Does it mean that Graves were distraught yet and he relieved that this was not a long search?

I don't understand if it is right a sentence above grammatically?