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The phrase "increased by one" is correct and can be used in written English.
It is typically used to indicate a small increment or change in a numeric value. For example: - The sales for this quarter increased by one percentage point compared to last quarter. - The temperature is expected to increase by one degree each hour. - Her salary was increased by one thousand dollars after her promotion.
Exact(53)
Since then, she said on Thursday, both figures have increased by one.
In this case, the MCS level that was originally selected based on the received SINR can be increased by one.
It means that when a vehicle detects an event with its on-board sensors, the value is increased by one.
On successful recall of each sequence pair, the sequence increased by one digit.
In that same period, Mexican produce exports along the border increased by one billion pounds.
At its performance coatings division, which sells paints for industrial use, sales increased by one percent.
Similar(7)
Stock price increased by one-third.
Immediately the capacity of each train is increased by one-third.
Clear Channel increased by one-third the severance package for departing employees, Mr. Bilotta said.
From November to December, iOS App Store revenue increased by one-third, setting records, and easily topping the year prior.
The average post-65 life span has increased by one-fifth since 1940 to 15.3 years.
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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