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The phrase "a small increase in" is correct and usable in written English.
It can be used when discussing a minor rise or growth in a specific quantity or measurement.
Example: "There was a small increase in sales during the holiday season compared to last year."
Alternatives: "a slight rise in" or "a minor uptick in".
Exact(57)
There may be a small increase in the prices charged".
This may lead to a small increase in stopping distance".
Medicare must cover this, even if it means a small increase in the Medicare payroll tax.
The UK will see a small increase in the potential for both technologies.
Some early studies showed a small increase in violent deaths, including suicides.
Labor did see a small increase in membership last year, reversing a long decline.
But each pukh season still brings a small increase in fire runs.
Even a small increase in interest rates has a big impact.
Many in Congress expect the White House to recommend a small increase in CAFE standards.
City economists had almost unanimously expected a small increase in GDP.
The Conference Board's Consumer Confidence Index reported a small increase in November, at least.
More suggestions(25)
a small increase in the prevalence
a small increase in the exposure
a small increase in exports
and a small increase in the
a small increase in the length
a small increase in the removal
an increase in flue
a small increase in orders
a small increase in demand
gain a smaller increase in
a small cell in
a small town in
a small business in
a massive increase in
a small edge in
a small village in
a huge increase in
a small minority in
a small kangaroo in
a small farm in
a great increase in
a small magazine in
a small flap in
a fourfold increase in
a small building in
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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