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The phrase "affect rate of" is not correct in standard written English.
It seems to be an incomplete expression and lacks clarity without additional context.
Example: "The changes in policy may affect the rate of customer satisfaction."
Alternatives: "influence the rate of" or "impact the rate of".
Exact(13)
Feeney, D. M., Gonzalez, A. & Law, W. A. Amphetamine, haloperidol, and experience interact to affect rate of recovery after motor cortex injury.
This paper presents further work on this matter but with focus on corrosion crack patterns and how they affect rate of crack widening.
There is a brief discussion of some of the problems that beset the investigator in gathering and analyzing data about growth of children, of the genetic and environmental factors that affect rate of growth and final size, and of the way hormones act at the various phases of the growth process.
Another gene known to affect rate of spikelet formation and hence grain productivity is a negative regulator – OsCKX2.
Neither the hardware (lead size, number and material) nor the access site choice (cephalic cut down, subclavian or axillary puncture) appears to affect rate of venous complications.
We could then be closer to concluding whether there are the same and/or additional variables that affect rate of movement, extent of movement and their relationships to the rates of death and damage.
Similar(47)
Plant structure and chlorophyll content strongly affect rates of photosynthesis.
"This in turn can then affect rates of progression to the most selective universities.
Specific AA affect rates of milk protein synthesis in the mammary glands of lactating cows.
However, the surgical repair design for Achilles tendon ruptures can affect rates of re-rupture or lengthening.
Yet economic factors seem more likely to affect rates of property crime than violent crime, and the relationship between the economy and the rate of gun violence in particular isn't clear.
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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