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The phrase "actual increase" is correct and usable in written English.
It can be used when discussing a real or tangible rise in quantity, value, or level, often in contrast to perceived or expected increases.
Example: "The actual increase in sales this quarter exceeded our projections, leading to a significant boost in revenue."
Alternatives: "real increase" or "genuine increase".
Exact(59)
There is no actual increase in the data so far".
That seems to be an actual increase rather than an artifact of more careful reporting.
(Because of population growth, the actual increase per capita was about 66percentt).
"We don't know if we're diagnosing it better or there's an actual increase.
"You hear more conversations about the positive future than any actual increase" in activity.
According to TargetSmart's data, the actual increase was 200percentt — still good, but more modest.
When Mr. Hoffman stepped down in 1972, the actual increase was calculated at 2.5percentnt.
This decline in retail ownership understates the actual increase in voting power held by institutional investors.
We need the actual increase in access to justice that arbitration provides.
"No one knows whether this is just to do with improved diagnosis or an actual increase in prevalence.
Mr. Thompson said the extra cases outside Beijing might reflect better reporting rather than an actual increase.
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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