Complex sentence: In Major League Baseball (MLB), Jackson played for the New York Giants from 1922 through 1936, winning the 1933 World Series, and representing the Giants in the MLB All-Star in 1934.
Split into simpler sentences: In Major League Baseball (MLB), Jackson played for the New York Giants from 1922 through 1936. He won the 1933 World Series with the Giants, and was a MLB All-Star in 1934.