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The phrase "a reduction of the" is correct and usable in written English.
It can be used when discussing a decrease or lessening of something, often followed by a specific subject or context.
Example: "The study showed a reduction of the carbon emissions in the last decade."
Alternatives: "a decrease in the" or "a decline of the".
Exact(57)
It's robotic, a reduction of the human body.
Presumably, a settlement in Posada's case, specifically, could result in a reduction of the suspension.
Although agreeing to a reduction of the British budgetary contribution, Wilson was not entirely satisfied.
Whyte is perfectly within his rights to seek a reduction of the Rangers wage bill.
The government authority has proposed a reduction of the population of the conservation area from 65,000 to 25,000.
But military planners say a reduction of the troops in Okinawa would require Washington to upgrade its presence somewhere else.
But veterans groups say the two payments serve distinct purposes, and one should not force a reduction of the other.
Gould saw no prospect that sociobiology would achieve its grandest aim: a "reduction" of the human sciences to Darwinian theory.
Another is a reduction of the legal time-limit on abortion, which up to now has been 24 weeks.
Alsop wrote that the first step of the Gallup organization's process was usually a reduction of the total sample.
Jonathan Biss gave a deft account of the piano line, actually a reduction of the orchestral original.
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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