Mane and Firmino both came close to adding a third, while at the other end Dan Gosling fired at Loris Karius, but the only player in Liverpool's attacking triumvirate without a goal would find the target before the end.
Nevertheless, the pressure finally told on 68 minutes when Salah converted his 40 goal of a sublime season.
The forward scored his 30th English Premier League goal of the season when he doubled the Reds' lead in Saturday's 3-0 win over the Cherries and to achieve the feat, he scored a spectacular header.
Drogba achieved the record by scoring 29 goals in the 2009-10 season to help Chelsea to a treble, and it was equalled a fortnight ago after Salah got the victor against Crystal Palace.
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It was not immediately clear on Friday what specific issues the court hearing would address. On Monday, Cohen's attorney called the searches "completely inappropriate and unnecessary".
It was Salah's 30th league goal for Liverpool as he found the net for the seventh successive home league match.
Mohamed Salah insists that he "does not care" about personal accolades as he is instead exclusively focused on helping Liverpool to win the Champions League. "I'm sure he'll keep doing that for the rest of the season".
Mohamed Salah shoots at goal during Liverpool's match against AFC Bournemouth at the Anfield stadium in, Liverpool, Britain - April 14, 2018.
It had been Salah's rival for the top scorer accolade Harry Kane who was getting pelters for being greedy last week after Spurs' appeal to the Premier League to take a goal off Christian Eriksen and give it to Kane.
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It was a attractive Anfield day for football and the home side echoed that, opening the scoring with Sadio Mane before Mohamed Salah's header ended any hopes of a Bournemouth revival, Roberto Firmino adding a third late on. It (Rush's record) is also very close, it's just seven goals.
"But you can see with the team, everyone tries to pass the ball to me to help me. Hopefully they all stay healthy and then we know we can play good football but we need a little bit of luck because we don't have 25 players in the squad any more".
And Firmino got in on the act in the final stages as Klopp's side move within a point of United, who have two games in hand. We don't need any more incentive than that.
For all Liverpool's dominance, they only had one goal to show for it in the first half as Salah continued to be frustrated, with Steve Cook's brilliant challenge denying him. I try to score every game to help the team. "It's all about him and all about us, how we finish the season".
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NY also planned to contact Jerry Stackhouse - coach of Raptors 905, Toronto's G League affiliate - according to sources. Porzingis said his contract situation would not have any impact on when he returns the court.