The Offaly Senior B Champions were too strong for Ballyfin.
Lusmagh secured their place in the semi-finals of the Leinster Intermediate Hurling Championship.
They saw off Laois side Ballyfin on a final scoreline of 0-17 to 1-9 in St Brendan's Park over the weekend.
Paul Kinsella was the top scorer with 0-7.
The Offaly side will take on Ratoath of Meath in two weeks time.
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