Complex sentence: The people of Springfield are very suspicious of Homer and Marge, and Chief Wiggum does not believe their story, during an inspection of the house Maggie is found with Mrs. Bellamy's stolen necklace, presumably given to her by the Man with the braces.
Split into simpler sentences: The people of Springfield are very suspicious of Homer and Marge, and Chief Wiggum does not believe their story. Finally, during an inspection of the house, Maggie is found with Mrs. Bellamy's stolen necklace, presumably given to her by the Man with the braces.