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"the number increases" is correct and usable in written English.
It can be used to describe a situation where a number is increasing over time. For example, "As the days passed, the number of confirmed cases of COVID-19 increased."
Exact(60)
The number increases each year.
"As the number increases, the risk increases," he said.
If you add families that currently live in inadequate homes, the number increases exponentially.
Between 1995 and 2000 the number increases by 40percentnt.
If Matsuzaka is behind in the count, the number increases to 58percentt.
There are approximately 1000 known pulsars and the number increases almost daily.
When magnetism is incorporated the number increases dramatically, from 230 to 1,651.
The number increases daily, but shelter, food and medical support are difficult to come by in the camps.
In the ultrasound scene, the number increases rapidly, a humorous nod to the cost of raising children.
As the number increases, so does the rate of decay due to charge exchange.
38% support this course of action and the number increases to 52% among those who wish to remain in the EU.
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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