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'changed with varying' is correct and usable in written English.
You can use it when you want to refer to something that varies or is subject to change over time. For example, you might say "The landscape has changed with varying weather conditions throughout the years."
Exact(6)
Table 1 shows that both the reduction time as well as the k values changed with varying amount of catalyst.
We used a Mantel test to determine whether plant communities changed with varying stocking rates and over time.
Over time that changed, with varying degrees of success, to the point where some firms tried to become single, global entities.
During the periodic of sleep/listening, the value of duty cycle is changed with varying traffic conditions, known as adaptive duty cycle [24 26].
All of the databases that were analyzed in this study are updated and changed with varying frequencies.
We conducted a sensitivity analysis with respect to the smooth function of time to determine the degree to which risk estimates changed with varying levels of adjustment for smooth unmeasured confounders.
Similar(53)
The characteristics of resonant vibrating piezoelectric elements change with varying load.
However, the presence of other accompanying symptoms including nausea, osmophobia, vertigo, and dizziness did not change with varying attack duration.
Morphology of the carpal tunnel changes with varying wrist postures and compressive forces applied to the wrist.
It is clear that the THz amplitude does not change with varying Φ, in agreement with the previous report for bulk crystalline Bi2Se3 [20].
Moreover, the morphology of flake-like AZO nanostructures, such as the density and the size, can occur to change with varying the Al concentrations.
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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