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The phrase "increase in the cost of" is correct and usable in written English.
You can use it when the cost of something is increasing. For example, "The increase in the cost of fuel has caused the cost of living to go up."
Exact(59)
Is an increase in the cost of borrowing imminent?
This reportedly has contributed to a 46% increase in the cost of each A400M plane.
Hidden in these arguments regarding taxes is the increase in the cost of government.
Others are more concerned about the effective short-term increase in the cost of imports.
That would suggest an increase in the cost of borrowing long before 2018.
But neither consumers nor investors will welcome an increase in the cost of raw computing power.
Will the increase in the cost of the campaign affect the American electoral system permanently?
The impact of the increase in the cost of money historically takes a number of quarters to take effect.
Higher prices for winter coats were largely behind a 1.6% increase in the cost of clothing between October and November.
It does not cover the increase in the cost of fertilizer, which has more than doubled in the past year.
Similar(1)
If that budget fails, a contingency budget would be adopted, but the increases it contains cannot be higher than the increase in the cost-of-living index.
More suggestions(16)
increase in the percentage of
increase in the visibility of
increase in the quality of
increase in the prosecution of
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increase in the length of
increase in the desperation of
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increase in the use of
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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