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The phrase "is successfully applied" is correct and usable in written English.
You can use it when you want to describe a successful application of something. For example, "The new strategy of keeping track of customer preferences is successfully applied in the analysis of market trends."
Exact(60)
Finally, MODGWO is successfully applied to this real-world WSP.
The devised procedure is successfully applied to two example systems.
The proposed algorithm is successfully applied to three tested examples.
The proposed strategy is successfully applied in lens system optimization.
The multiple pulse sequence is successfully applied to alloy deposition.
Moreover, this method is successfully applied to detecting Hg2+ in real water sample.
In the comparison, the empirical relationship between the actual porosity and porous parameter is successfully applied.
It is successfully applied to the determination of halide ions in real samples.
Finally, the proposed online optimal DSMC is successfully applied to a ball and beam system.
Finally, GAFAT is successfully applied to solve a real pipe frequency improvement problem.
The concept of equivalent (or effective) lengths of the two column segments is successfully applied.
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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