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The phrase "a very marginal increase" is correct and usable in written English.
It can be used to describe a slight or minimal rise in a particular measurement or statistic.
Example: "The report indicated a very marginal increase in sales compared to last quarter, suggesting that the new marketing strategy had little impact."
Alternatives: "a slight increase" or "a minimal rise".
Exact(4)
"We saw a very marginal increase in overall print sales in 2015, but last year people flocked back to print in droves," says Lotinga.
"There is this issue of the benefits cliffs, where some programs are designed so just a very marginal increase in earnings can result in a loss of a very important benefit.
If you look at the reasons of this drastic raise of the social cost of health care, you can argue that all we're doing is spending a huge amount of money at the beginning of the patient's old age, using incredibly expensive techniques, with a very marginal increase in quality of life and life expectancy.
However, the role of XPF-ERCC1-mediated repair of CPT-induced DNA damage and cytotoxicity is not entirely clear as although XPF knockdown was shown to reduce γH2AX foci it only caused a very marginal increase in CPT sensitivity, and ABT-888 sensitised cells irrespective of XPF levels (Zhang et al, 2011).
Similar(56)
However, and in striking contrast with the hippocampus and the striatum, BDNF expression in the mouse cortex, which expresses high levels of the CB1 receptor, was unaffected by either THC administration or CB1 receptor genetic ablation, while another study found only very marginal increases in BDNF levels in the medial prefrontal cortex and the frontoparietal cortex upon THC injection to rats.
Even so, it was able to make significant improvement in the accuracy for the class of reviews rated 3, increasing its accuracy from 25.89% to 33.76%, while all other classes only suffered a very marginal decrease in accuracy.
"They will become a very marginal outfit".
"It was a very marginal market before Katrina.
More stuff only makes a very marginal difference.
"Yeah, because we're in a very marginal seat.
Mr. Bopp called that "a very marginal interest".
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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