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The phrase "application of adjustment" is correct and usable in written English.
It can be used in contexts where you are discussing the implementation or use of adjustments in a particular situation, such as in finance, engineering, or policy-making.
Example: "The application of adjustment in the budget allowed for better allocation of resources."
Alternatives: "implementation of modification" or "use of alteration".
Exact(2)
The coefficients of variation were re-calculated after the application of adjustment factors for all short-period count durations.
The change in the coefficients of variation after the applications of adjustment factors for all count durations during the winter months is presented in Table 6 of Appendix 2. It is evident from the table in Appendix 2 that the application of adjustment factors for snow and cold reduces the coefficients of variation by 8%43%%.
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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