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The phrase "a vigorous increase of" is correct and usable in written English.
It can be used when describing a significant and energetic rise in a particular quantity or phenomenon.
Example: "The company reported a vigorous increase of sales in the last quarter, surpassing all expectations."
Alternatives: "a substantial rise in" or "a robust growth of".
Exact(1)
The profile of CIC increase in Hg-treated mice was quite different between wt and FcRγ−/− mice, the former showing a modest but steady increase from day 12, while the latter showed an initially 4-fold higher concentrations of IgG1-CIC on day 12 which subsequently declined but with a vigorous increase of IgG2a-CIC on day 26 35.
Similar(59)
Throughout the remainder of 1914 and the early months of 1915, Lloyd George was a vigorous advocate of increased munitions production.
Elected by write-in vote to the Senate in 1954, Thurmond quickly established himself in the Southern conservative mold as a vigorous champion of increased military power and spending and an archfoe of civil rights legislation.
As a vigorous form of cardiovascular exercise it increases lung capacity, allowing more oxygen to be delivered to the organs in the body.
Interestingly, systemic hypercapnia in the absence of the peripheral chemoreceptor inputs evoked vigorous increases in SNA, however, the slopes of the CO2-evoked sympathoexcitatory and cardiovascular responses were not affected following inhibition of C1 neurones (and transduced RTN neurones for that matter).
After the photooxidized process (group O4), there was an increase in production of IL-1 and a vigorous production of IL-6 and TNF-α.
It also undertook a vigorous program to increase awareness among troops of cybersecurity concerns.
His contact with extreme nationalist political circles favouring increased armament convinced him that, if policy was influenced by "strong men," a vigorous conduct of war was assured.
The combination of staff supervision and equipment availability led to a significant increase of moderate-to-vigorous physical activity (MVPA) in boys (+14.1%) [ 4].
He proposes a vigorous version of the free market.
Expressed a vigorous strain of the national character.
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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