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It is correct and can be used in written English.
You can use this phrase to describe a situation in which something goes down as something else goes up. For example, "The number of visitors to the museum decreased with increasing ticket prices."
Exact(60)
In the mesosphere, temperatures again decrease with increasing altitude.
The red fraction exhibits a moderate decrease with increasing redshift.
They decrease with increasing duty ratio.
They both decrease with increasing inclination angle.
Temperatures in the oceans decrease with increasing depth.
The measured rotational diffusion coefficients decrease with increasing particle size.
The emissions decrease with increasing the engine speed.
Hardness and Young's modulus decrease with increasing RPM.
Gas bubbles however decrease with increasing electrolyte velocity.
Since WDs and NSs are much more massive than Jupiter, their sizes decrease with increasing mass.
In contrast, the results obtained using the polarization techniques show a striking decrease with increasing Q2.
More suggestions(15)
decrease with rising
fall with increasing
decrement with increasing
decrease with raising
diminished with increasing
decrease with rise
reduces with increasing
reducing with increasing
declines with increasing
shrink with increasing
reductions with increasing
reduce with increasing
declined with increasing
reduced with increasing
contraction with increasing
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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