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The phrase "extensively applied in" is grammatically correct and can be used in written English.
You can use this phrase when describing the widespread or frequent use of something in a particular context or field. For example: - "The concept of sustainability is extensively applied in the fashion industry, with many brands adopting environmentally-friendly practices." - "Modern technology is extensively applied in the field of medicine, leading to advances in treatments and procedures." - "The principles of agile methodology are extensively applied in software development teams to improve efficiency and productivity."
Exact(60)
It is extensively applied in neurology, physics, sociology, and economics.
Recently, epidemiological dynamics have been extensively applied in population biology.
High performance concrete (HPC) has been extensively applied in practice.
Composite laminates are nowadays extensively applied in many engineering disciplines.
Immunoassays were extensively applied in the field of steroid determination in biological matrices.
It is extensively applied in medicine, as part of the evidence-based medicine [5].
Recently, fractional calculus has been extensively applied in many fields [15 18].
In recent years, object-oriented segmentation methods are extensively applied in remote sensing image analysis.
Glycine is extensively applied in the field of food, medicine, agrochemistry, etc.
Random Way Point (RWP) mobility is extensively applied in wireless network simulations [35 38].
Three-dimensional (3D) similarity datum transformation is extensively applied in geodetic field and many other areas.
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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