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"after the application of" is a correct and usable phrase in written English.
You can use it to refer to a specific event or process that has taken place after a specified action. For example: "After the application of the new regulations, it became clear that the company had to find a new approach to the situation."
Exact(60)
The polymer hardens after the application of a catalyst, permanently preserving the deceased entity.
Ten years after the application of toxaphene to sandy soil, enough remains to kill termites.
Gatlin went straight to a doping test after the application of that cream, Graham said.
"As we have made clear, the UK's contribution to the EU is paid after the application of the rebate.
(a) Relative change in resistance after the application of pressure.
The remaining two implants remained integrated after the application of torque between 10 and 20 Ncm.
After the application of plasma, the CA was reduced significantly to 36° and 31°, respectively.
After the application of a search operator, repeated products are removed from the generated individuals.
The trend is same even after the application of fluoropolymer and antibacterial finish.
After the application of the second AGC removal step the PDF contains primarily thermal noise.
Oil recovery was improved after the application of nanosilica fluid in core samples.
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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