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"an insignificant effect" is a correct and usable phrase in written English.
It is typically used to describe a small or unimportant impact of something. Here is an example of how it can be used in a sentence: "The change in the company's marketing strategy had an insignificant effect on sales, as they only saw a 1% increase in revenue."
Exact(60)
We find that although some measures are effective in reducing originator prices, others appear to have an insignificant effect.
Artificially manipulating the price of energy in this way would have an insignificant effect on oil dependency.
In upholding the variance, the court said the buildings would have an "an insignificant effect on the general character of the mixed-use neighborhood".
If corporate contributions have an insignificant effect on elections, why are so many tax breaks, loopholes and subsidies for special interests written into the law?
The report, which took over two years to be completed, also noted that whatever grade-changing occurred had an insignificant effect on the school's graduation rate.
Drawing this number of potential settlers to live inside Israel has an insignificant effect on settlement growth in the West Bank.
All the results indicate an insignificant effect.
Soaking in saline had an insignificant effect on stiffness.
By contrast, pressure has an insignificant effect on the solubilities of solids and liquids.
On the other hand, the heat flux had an insignificant effect on the frictional pressure gradient.
Reassigning the pairing had an insignificant effect on the results presented.
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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