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The phrase "accompanied by a decrease of the" is correct and usable in written English.
It can be used in contexts where you want to indicate that one event or condition occurs alongside a reduction in something else.
Example: "The increase in temperature was accompanied by a decrease of the ice levels in the Arctic."
Alternatives: "along with a reduction in" or "together with a decline in".
Exact(22)
A decrease of the flame peak temperature is accompanied by a decrease of the NO formation.
Such shift of the reaction path is also accompanied by a decrease of the reversible specific charge of the material.
The increase of Cr content in TiO2 Cr nanopowder was accompanied by a decrease of the anatase phase and a consequent increase of the rutile polymorph.
In addition, this structural change is accompanied by a decrease of the coefficient of thermal expansion and an increase of the water durability of the glasses with the acids containing a large number of carboxylic groups per molecule.
Further increasing of calcination temperature from 800 up to 1000 °C resulted in outward Cu diffusion accompanied by a decrease of the intensity of the 270-nm absorption band (i.e., oxygen vacancies' number), the transformation of ZrO2 tetragonal (cubic) phase to monoclinic one as well as the enhancement of absorption band of dispersed and crystalline CuO in the 600 900 nm range.
Measurements of the temperature of the specimen during tests showed that in the final stage of the process there is a sharp increase of the specimen temperature (about 200 °C, Fig. 6), that accompanied by a decrease of the resonance frequency.
Similar(38)
This reduction was accompanied by a decrease of non-radiative recombination centers in the active layer.
The growth of stress was accompanied by a decrease of optical constants, n and k.
In AFF4, RUVBL1, and POU2F promoters, the decrease of H4K12ac enrichment was accompanied by a decrease of H3 enrichment.
The decrease of Ca transient amplitude was accompanied by a decrease of SR Ca content.
This is accompanied by a decrease of surface area and of crystallinity, as detected by XRD.
More suggestions(16)
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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