Down produced a strong finish to qualify for the quarter-finals of the Tailteann Cup.
Conor Laverty's side came from behind to beat Longford by 1-20 to 1-12 in Newry.
Laois are also through after a 1-11 to 1-9 victory over Fermanagh.
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Wexford advanced courtesy of a 1-22 to 2-14 defeat of Offaly and Carlow were 15 points to ten winners over New York.
