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"the number increased" is correct and usable in written English.
You can use it to talk about a specific quantity which went from a lower value to a higher value. For example: "The number of visitors to the museum increased by 20% this year."
Exact(60)
The number increased slightly in 2010.
The number increased just slightly this year.
The number increased to 36 in 2005.
The number increased to 31,000 in 1998.
In some areas, the number increased as high as 6.3%.
In the second poll, the number increased, to 37percentt.
The number increased to 43.4 million by 2010.
The number increased by nearly 500,000 boats from 1988.
In 1994, Congress approved 4,126 earmarks; by 2005, the number increased to 15,877.
As of June, however, the number increased for the first time in years.
The number increased to $412,000 in the last fiscal year, he said.
More suggestions(15)
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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