Original: Late on June 4, the extratropical remnant entered New England, and late on June 5 the remnants of Barry were absorbed by a larger extratropical cyclone near the border between the U.S. state of Maine and the Canadian province of Quebec.
Simplified: Late on June 4, the extratropical system entered New England. Late on June 5, what was left of the cyclone was taken over by a larger weather system, near the border of the U.S. state of Maine and the Canadian province of Quebec.