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The phrase "an increment in" is correct and usable in written English.
This phrase is used to refer to a small increase in something, usually something that has been measured or counted. For example, "There has been an increment in sales since the new marketing campaign was launched."
Exact(60)
An exogenous mutagen produces an increment in lesions over the background rate of endogenous lesions.
An increase in temperature and pH levels caused an increment in the degradation kinetics of the anthocynains.
However, an increment in the ethanol production is necessary.
Moreover, an increment in slip lengths gives rise to an increment in volumetric flow rate in a proportional way.
There is an increment in DS with an increment in critical inter-layer thickness in both LG-EVA and LG-PVBcomposites.
These problems cause time lost and an increment in cost of production.
All samples showed an increment in concentration during the pre-monsoon season except S8.
CNPSo 2480 and CNPSo 2481 also promoted an increment in root length.
The shift to smaller diffraction angles implies an increment in the lattice plane distance d202.
As a result, there is an increment in the total oil production from the reservoir.
Sub-solid nodules that show an increment in attenuation should be considered suspicious for malignancy.
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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