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"a high increase" is correct and usable in written English.
You can use it when referring to a significant increase in quantity, size, or intensity. For example: "In the last quarter, profits experienced a high increase of 20%."
Exact(60)
Both scientific journals and patent databases record a high increase in publications in this area.
The simulation results performed for constant panel temperature showed a high increase in heat output.
A high increase of the oxygen evolution overvoltage could also be seen.
Up to 5 phr of JHNPs, a high increase of the viscosity at low frequencies was observed.
Concentration of AMFQ in the hydrogels was, respectively, 7.2 and 34 times higher than I and II aqueous solubility, indicating a high increase in aqueous compatibility.
These data show that the immunosuppressant therapy induces a high increase in both the proteins and that VEGF variations are associated with MMP2 variations.
This mutant also showed a high increase in temperature stability (Tm was raised by 13 °C) and retained high activity towards cephalosporin C under standard assay conditions.
Here, a high increase in dielectric permittivity (∼70%) was obtained without compromising other favourable DE properties such as elastic modulus, gel fraction, dielectric loss and electrical breakdown strength.
Because of scarcity in resources, there is a high increase in efficiency.
A high increase in new-home construction and growth policies not overburdened by regulation acted as price reliefs in Raleigh.
The ambulance service said there has been a "high increase" in delays in admitting patients due to NHS pressure.
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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