Complex sentence: The police become notably annoyed with his persistence in pursuing this theory, and, to stay in their favor, Masada divulges that he believes that a waiter at the cabaret may be in on the drug smuggling.
Split into simpler sentences: The police becomes notably annoyed with his persistence in pursuing this theory. So, to stay in their favor, Masada divulges that he believes that a waiter at the cabaret may be in on the drug smuggling.