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It is correct and usable in written English
You can use it when discussing any kind of increase that is slow but steady in progress. For example, "The sales figures have shown a gradual increase since the beginning of the year."
Exact(60)
A gradual increase in organization and deepening occurred, with Sandy becoming a hurricane on October 24.
A gradual increase in the inflation rate which will likely see wages and general prices rising too.
A gradual increase of physical activity [ 19] can avoid injuries.
A gradual increase in weight was transmitted to the wound site pulling apart the wound edges.
A gradual increase in TIL was observed during melanoma tumorigenesis (Hussein et al, 2006).
A gradual increase in pressure was manually performed in blind experiments.
A gradual increase was observed in mobile phone risk perception with decreasing mother's educational level.
"We've just seen a gradual increase".
"We're still planning for a gradual increase in M.&A.
Life expectancy, however, has been showing a gradual increase.
"In the last decade we've seen a gradual increase in children under 12," she said.
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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