But Argentina's World Cup-winning Alexis Mac Allister - nominated for March's Premier League Player of the Month award - produced a stunning 20-yard strike which flew into the top corner to put the hosts back in front with 14 minutes left.
But it did not matter as substitute Cody Gakpo headed in Liverpool's third in the 90th minute to seal the victory.
The result takes the Reds two points clear of Arsenal and three ahead of reigning champions Manchester City, with each side having eight league matches left.
More importantly, it keeps Liverpool's title destiny in their own hands.
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