Complex sentence: The Falcons play their home games at the Georgia Dome in downtown Atlanta, but construction began on Mercedes-Benz Stadium in May 2014, with play beginning in the 2017 season.
Split into simpler sentences: The Falcons play their home games at the Georgia Dome in downtown Atlanta. Construction began on Mercedes-Benz Stadium in May 2014, with play projected to begin there during the 2017 season.