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"with an increase" is a grammatically correct and commonly used phrase in written English.
It can be used in various contexts to indicate an increase in something. Here are a few examples: 1. "The company reported record profits this quarter, with an increase of 20% compared to the same period last year." 2. "The government plans to address the issue of poverty with an increase in funding for social welfare programs." 3. "The demand for eco-friendly products has been steadily rising, with consumers showing an increase in their willingness to pay for sustainable options." 4. "The school has seen a significant improvement in student performance, with an increase in test scores across all subjects." 5. "The number of tourists visiting the city has been on the rise, with an increase of 15% in the past year."
Exact(60)
Spore settlement decreased with an increase in ERII.
That has corresponded with an increase in e-book sales.
Texas came in second, with an increase of 2.6 percent.
Apparel led the way, with an increase of 11.2 percent.
Filling increases significantly with an increase of cavity thickness.
This improvement is associated with an increase in current rating.
The MAWC declined with an increase in the carrying rate.
Adsorption of iBu was increased with an increase in temperature.
Plasma lysozyme levels decreased with an increase in FM.
This mechanical improvement was associated with an increase in Ct.Wi.
The luminescence monotonically decreased with an increase in ion fluence.
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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