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The phrase "are next applied" is correct and usable in written English.
It can be used when describing a sequence of actions or processes in which something is applied after a previous step.
Example: "After the initial analysis, the results are next applied to develop the final report."
Alternatives: "are subsequently applied" or "are then applied".
Exact(2)
These results are next applied to yield various known results as special cases.
Our methods are next applied to the more complex phenomenon of cortical oscillations observed in spreading cells.
Similar(58)
The approach is next applied to chaos-based secure communication.
The optimal parameter set is next applied on test data.
The cable model developed is next applied to a cable structure system.
The procedure is next applied to the design of a fluid-flow control nano-valve.
This optimal parameter set was next applied to hypothesize the detections corresponding to the test data.
The model was next applied to the topography of a 10 km × 10 km area of Everglades landscape.
The method was next applied to analyze the trajectories of quantum-dot-labeled GABAA receptors in nerve growth cones.
The power spectral density (PSD) estimation module is next applied to estimate the energy of background noise.
Such a model is outlined and used for introducing a typology of MDP problems which is next applied as a basis for structuring the MDP-related contents.
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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