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Mohamed Salah hit the post and Diogo Jota rattled the crossbar in a goalmouth scramble, before the ball was cleared for Alexander-Arnold to lash home Liverpool's 76th-minute winner and then whip his shirt off to celebrate in front of a raucous away end.
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Liverpool almost got off to a dream start when Salah was slipped through by Luis Diaz after just three minutes, but the Egypt international's curled effort hit the far post and trickled across Mads Hermansen's goal-line before hitting the other post and bouncing out.
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Hermansen parried Dominik Szoboszlai's shot away, before making a sprawling save to deny Kostas Tsimikas.
Leicester were somehow still in it and managed to get the ball in the back of the net but Coady's header was disallowed by the referee for a foul by Patson Daka on Liverpool goalkeeper Alisson.
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Trent: We're so close to the title now
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Scoring goals, winning games and being close to winning titles are special moments that will live with me forever.
"I'm glad to be part of it."
Carra: Most people think the decision has been made
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Most of us probably know what's going to happen."
Slot: Great moment for Trent
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