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The phrase "marginal effect on" is correct and can be used in written English.
This phrase is most commonly used to describe a slight influence or change in a particular situation. For example, "The new policy had only a marginal effect on the public's opinion of the government."
Exact(58)
LY294002 alone had marginal effect on cell apoptosis in both CT26 and SW620 cells.
Many "effective" medications have only a marginal effect on disease processes or symptoms, and direct comparisons between competing treatments have been rare.
With one exception, variable population size for different BC generations had a marginal effect on RPG recovery (Figure 1j).
She said: "Ministers have ignored scientists' advice that a cull will have a marginal effect on bovine TB.
Even deep cuts in carbon production would have only a marginal effect on economic growth, the IPCC will say.
BeShears told me that she fears that this latest revelation will have a marginal effect on the vote.
We will also work to repeal laws of all kinds that have a marginal effect on safety but a disproportionate effect on liberty.
But most practitioners agree that this rise will have only a marginal effect on the way international studies are organized and taught.
Whatever chicanery is occurring — and we can assume there is some — has only a marginal effect on prices at the pump.
The addition had a marginal effect on the nitrification rate.
Tween 80 had a marginal effect on the cellulase activities.
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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