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The phrase "are widely applied" is correct and usable in written English.
It can be used to describe methods, techniques, or concepts that are commonly used in various contexts or fields.
Example: "These principles are widely applied in the field of engineering to ensure safety and efficiency."
Alternatives: "are commonly used" or "are extensively utilized".
Exact(60)
Layered film structures are widely applied in industry.
Ensemble methods are widely applied to supervised learning tasks.
Redox polymers are widely applied in bioelectrochemical applications.
Fertilisers are widely applied to agricultural fields using surface fertigation.
Relative abundance indices are widely applied to monitor wildlife populations.
These so-called passive detectors are widely applied in the routine monitoring of occupational exposures to ionizing radiation.
Measures to restore degraded rangelands (i.e., reseeding, irrigation, fertilization, and grazing prohibition) are widely applied in China.
In situ anaerobic biological processes are widely applied for dechlorination of chlorinated solvents in groundwater.
Therefore to improve this characteristic heat-chemical treatments of the surface are widely applied.
Equivalent linearization methods are widely applied to assess the seismic demands of buildings and bridges.
Film bulk acoustic resonators (FBAR) are widely applied in mass, bio-sensing and pressure sensors.
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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