Complete the sentences with past modals of deductions and the correct form of the verbs.
On the 20d of July, in 1937, Amelia Earhart left Papua New Guinea in her aircraft and headed for Howland Island. However, she never arrived, and no trace of her, her plane or her navigator, Fred Noonan, have ever been found. The easiest conclusion to draw is that they _ _ _ _ _ _ (crash) into the sea. In their search for the island, they _ _ _ _ _ _ (get) lost and, according to most theories, _ _ _ _ _ _ (run out) of fuel before they could land.