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The phrase "at an increase" is correct and usable in written English.
It can be used when discussing a rise or growth in a particular metric, such as prices, rates, or quantities.
Example: "The company reported its sales figures at an increase compared to the previous quarter."
Alternatives: "on the rise" or "at a higher level".
Exact(58)
An R&D program goal of 90% carbon capture, at an increase in the cost of electricity (COE) no greater than 10% above current state-of-the-art designs without capture, has been established for electric power generation from next-generation Integrated-Gasification Combined-Cycle (IGCC) plants.
That works out at an increase of around £100 a day during April.
NBC executives first asked Paramount whether the studio was seeking an extension at an increase or decrease.
t0 decreases from 1.33 to 0.45 ms at an increase in injection pressure of 0.2 0.45 MPa.
More students from the Middle East and Turkey also applied, at an increase of 13 percent from last year.
The optimization of power tools, in terms of the user-centered design, therefore aims at an increase of the SoU.
But, as is often the case, it is hard to tell if we are looking at an increase in incidence or in diagnosis.
In terms of the automotive market as a whole, the company reckons it's looking at an increase from $10bn to $15bn in five years.
At an increase of £24bn, pensioner incomes made up the largest share of the change, around nine-tenths of the growth, reflecting their size within the budget.
Similar(2)
Women are at an increased risk of having a disability.
ago, humans have been damaging ecosystems at an increasing rate.
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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