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The Uruguayan was forced to sit out of the game, which could prove to be a decisive match in the Premier League title race.
"He went in yesterday [from training].
That result has put them within six points of mathematically becoming Premier League champions.
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Following the result, Nunez sent a message to midfielder Alexis Mac Allister on Instagram.
"One more step towards our goal," wrote the Argentinian in a post after assisting the winning goal.
Nunez soon appeared in the comments, writing: "That 10," alongside the flame and clapping hands emojis.
Much of the Reds' squad followed with similar posts touching on moving one step closer to their collective goal of winning the title.
"We know how important the next two battles will be for everyone!
Preparations are already starting," wrote Ibrahima Konate on Instagram, whilst Curtis Jones put more briefly: "One step closer!"
"Another step, same direction," echoed Ryan Gravenberch next to his post as Jarell Quansah's caption also read: "Character needed today and we showed it.
Nice to be back out there after a few weeks out," the Northern Irishman wrote, adding: "Another step closer!"
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The extension of the gap over second-placed Arsenal puts the Reds on track to win the Premier League in two weeks when Tottenham Hotspur visit Anfield.
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