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Chelsea had more presure in this match and they need a win badly and thats why they won. Liverpool didnt care much about this match because they won the title and thats why they couldnt score many goals because they were lacking focus in finishing. Cole Palmer finally played a good match after a long time
You are right, Chelsea really need a win to boost their chances of qualifying for next season's Champions League, while Liverpool don't really care anymore even though they plan to maintain their good record this season. After the title is won, I don't think Arne Slot really cares anymore how Liverpool finish the game, even though they still try to play well not to lose.
The 3-1 defeat to Chelsea was Liverpool's 3rd defeat this season in the Premier League in 35 matches. Of course this victory is very important for Chelsea who are trying to qualify for the Champions League next season, but Chelsea is not completely safe considering the gap with Nottingham is 3 points. Nottingham have not finished this week's match, they will face Crystal Palace who are so far ranked 12th.