Complex sentence: At this time Dunham first became associated with designer John Pratt, whom she later married, and produced the first version of her dance composition "L'Ag Ya", which premiered on January 27,1938, as a part of the Federal Theater Project in Chicago.
Split into simpler sentences: At this time Dunham first became associated with designer John Pratt, whom she later married. Together, they produced the first version of her dance composition "L'Ag'Ya", which premiered on January 27,1938, as a part of the Federal Theater Project in Chicago.