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The phrase "after the reduction" is correct and usable in written English.
It can be used in contexts where you are discussing the effects or consequences that follow a reduction in size, quantity, or intensity.
Example: "The results showed a significant improvement in performance after the reduction of unnecessary steps in the process."
Alternatives: "following the reduction" or "subsequent to the reduction".
Exact(60)
After the reduction, the risk was 2.4 times higher.
And we are fourth highest in the nation, still, even after the reduction".
Still, nearly 1,000 residents and sympathizers from neighboring towns signed petitions in protest shortly after the reduction was announced.
Total inorganic tellurium was determined after the reduction of the Te VI) to Te(IV).
After the reduction, men living alone were 4.9 times as likely to die of liver disease.
After the reduction treatment at 400 °C, the peculiar core shell structure was formed.
The defence committee earlier this week questioned the point of maintaining a garrison there of 2,500 troops - the level after the reduction next spring.
Bone defects in vertebral bodies (VB) usually occur after the reduction of fractures or are caused by bone disease.
Total chromium was determined after the reduction of Cr VI) to Cr III) using sodium sulfite in acidic medium.
Total inorganic selenium was determined after the reduction of Se VI) to Se(IV) and prior to the above procedures.
Total inorganic As was determined after the reduction of the pentavalent forms of arsenic with sodium thiosulphate and potassium iodide.
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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