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The phrase "determined to increase" is correct and can be used in written English.
It is typically used to describe someone's strong motivation or drive to increase or improve something. Example: The company's CEO was determined to increase profits by 20% in the next fiscal year, and implemented several strategic plans to achieve this goal.
Exact(60)
He is determined to increase coverage and curb costs.
He was determined to increase the responsiveness of local officials.
Meanwhile, the nearly 500 detainees appear determined to increase pressure on their captors.
The transformation kinetics between these caffeine forms was determined to increase with temperature.
The Care Quality Commission says it's determined to increase user involvement in its own operation – as a key corrective to its past problems.
And officials are determined to increase the representation of blacks, who currently make up more 50percentt of the force, in the higher ranks.
He was determined to increase the evangelical turnout, which in 2000 had been so low it almost cost Bush the election.
Surely your headline should have read "Cameron fails to rally Tory support" and perhaps a subheading "Labour determined to increase their remain support and fill the breach".
Boxers' fitness, preparation and skill levels are, overall, better – and Wu is determined to increase competitiveness by allowing three professionals into this tournament.
Gov. Greg Abbott (R) won 44percentt of the Hispanic vote in 2014 and is determined to increase that percentage this year.
Debs's ARU faced its great test when the Pullman Company, determined to increase profits, lowered wages without corresponding cuts in grocery prices or rent.
More suggestions(17)
determined to rise
determined to broaden
determined to widen
established to increase
determined to gain
purposeful to increase
certain to increase
determined to outmaneuver
determined to avoid
determined to press
determined to drive
determined to go
determined to break
determined to work
determined to lose
determined to return
determined to change
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com