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Darwin Nunez and Harvey Elliott scored the decisive goals for Liverpool in the first half to secure the win and passage to the semi-final.
Now, Liverpool will look ahead to their return to Premier League action this weekend when they travel to face Tottenham Hotspur.
The Reds will look ahead to the first leg of the semi-final in early January, with the draw set to take place on Thursday night.
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Here, the ECHO takes a look at Liverpool's upcoming fixtures compared to their Premier League title rivals.
December 22 vs Tottenham (A) at 4.30pm - Premier League
December 26 vs Leicester City (H) at 8pm - Premier League
December 29 vs West Ham (A) at 5.15pm - Premier League
January 5 vs Manchester United (H) at 4.30pm - Premier League
January 8/9 - Carabao Cup semi-final first leg
December 21 vs Crystal Palace (A) at 5.30pm - Premier League
December 27 vs Ipswich Town (H) at 8.15pm - Premier League
January 1 vs Brentford (A) at 5.30pm - Premier League
January 4 vs Brighton (A) at 5.30pm - Premier League
January 8/9 - Carabao Cup semi-final first leg
December 19 vs Shamrock Rovers (H) at 8pm - Conference League
December 22 vs Everton (A) at 2pm - Premier League
December 26 vs Fulham (H) at 3pm - Premier League
December 30 vs Ipswich Town (A) at 7.45pm - Premier League
January 4 vs Crystal Palace (A) at 3pm - Premier League
December 21 vs Aston Villa (A) at 12.30pm - Premier League
December 26 vs Everton (H) at 12.30pm - Premier League
December 29 vs Leicester City (A) at 2.30pm - Premier League
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January 4 vs West Ham (H) at 3pm - Premier League
January 11 vs Salford City (H) at 5.45pm - FA Cup
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