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The January transfer window should bring no real changes to the Liverpool squad, I doubt any pivotal player would leave the team at the middle of such a great season.
However this does not indicate they would be undefeated throughout the season. There are still lots of matches left to be played and form can change in just a matter of weeks.
It's only been half a season there are still opportunities to pursue the same points as Liverpool, the transfer window window will soon open the clubs will continue to look for the best players so they can beat opponents easily, and I have not found the rumor Liverpool will buy players I think it's perfect .