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The phrase "The increase of" is correct and usable in written English.
You can use it to describe the growth of something. For example, "The increase of air pollution in large cities is a serious problem."
Exact(60)
The increase of sickness.
The increase of AADT from 8000 veh.
The increase of the total traffic causes the increase of ANASS.
The increase of δ leads to the increase of the largest reconstruction error.
The increase of output torque result in the increase of mesh frequency and its harmonics components. .
The increase of die length had a negligible effect on the increase of the density.
The increase of temperature in the basin will lead to the increase of evaporation.
The increase of output torque result in the increase of mesh frequency and its harmonics components.
The increase of COP is mainly related to the increase of cooling capacity.
The increase of duty cycle resulted in the increase of MgO in the oxide film.
The increase of both elements was associated with the increase of dissolved organic carbon (DOC).
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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