Complex sentence: The Blue Jays are a member of the East division of the American League (AL) in Major League Baseball (MLB), and play their home games at Rogers Centre (formerly known as SkyDome).
Split into simpler sentences: The Blue Jays compete in Major League Baseball (MLB) as a member club of the American League (AL) East division. The team plays its home games at the Rogers Centre (formerly known as SkyDome).