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The phrase "a sharp increase of" is correct and usable in written English.
It can be used when describing a significant rise in a quantity or measurement, often in contexts such as economics, statistics, or research findings.
Example: "There was a sharp increase of 20% in sales during the holiday season."
Alternatives: "a significant rise in" or "a steep growth of".
Exact(60)
Amidst a Sharp Increase of Suicide: Suicide in Japan, Vol 88.
Measurements at P >∼160 GPa revealed a sharp increase of Tc.
In summer 1997 a sharp increase of protein concentration was measured.
There was a sharp increase of hardness occurred in fusion zone due to more ferrite formation.
Over the last few years, there has been a sharp increase of visitors in Macau.
In July 2004, a sharp increase of hepatitis A, a notifiable disease in Belgium, was detected.
A sharp increase of suction pressure was also observed when sludge bulking occurred during normal operation.
He underlined a sharp increase of typhoid and dysentery patients on the Turkish side over recent months.
A sharp increase of the equilibrium hydration degree between pH 5.5 and 7.4 is observed.
Furthermore, a decrease in molecular weight leads to a sharp increase of cgel.
In addition, oxidation leads to a large predominance of crosslinking over chain scissions resulting in a sharp increase of Tg.
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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