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Liverpool are also just one point ahead of third-placed Manchester City, who have two games in hand and take on Brighton at the Amex Stadium on Thursday night.
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Neville was on commentary for Sky Sports during the game and also gave his verdict on the his podcast post-match.
The former Manchester United defender explained why he was 'surprise' by Konate's performance against Everton, with the centre-back partnering Virgil van Dijk in defence for the Reds.
“There was an element of this game where you felt Liverpool were outmuscled,” he said.
“I wouldn’t say outfought because Liverpool teams work hard, but they were outmuscled by Everton in the big moments in both boxes.”
Neville then added: “Liverpool lost the game in both boxes, which is where you lose the game, but physically they lost the game in both boxes.
“That was surprising.
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