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The phrase "reduced with increasing" is grammatically correct and can be used in written English.
You can use it when describing a situation where something decreases or becomes lower as something else increases. Example: The company's profits were reduced with increasing competition in the market.
Exact(60)
Notice that κ is reduced with increasing overlap.
The optical transmittance is reduced with increasing the dipping times.
Fish growth was significantly reduced with increasing Zn concentrations.
Recovery is reduced with increasing matrix ion concentrations.
Growth performance was significantly reduced with increasing Zn concentrations.
The deposition rate reduced with increasing hydrogen content.
As shown, the methane and light gaseous hydrocarbons selectivities are reduced with increasing Ru.
As shown, the methane and light gaseous hydrocarbons selectivities are reduced with increasing W/S ratio.
However, temperature had the reverse effect to salinity, the surfactant adsorption is reduced with increasing temperature.
Subsequently, effective potential at the end of the dendrites was reduced with increasing magnetic flux (B).
They observed that the thermal conductivity reduced with increasing the size of nanoparticles.
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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