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'extensively argued' is correct and usable in written English.
You can use it when describing something that has been discussed at length and in great detail. For example, "The points were extensively argued in the court case."
Exact(6)
The effects of microcrack interaction on the failure behavior of materials present one problem of considerable interest in micromechanics, which has been extensively argued but has not been resolved as yet.
Historical case in point: Martin Luther King Jr. Public intellectual Michael Eric Dyson and historian Vincent Harding have extensively argued that we as a nation have capitalized on the "I have a dream" part of King's speech to support all sorts of agendas but rarely do we pair it with the "nightmare" that King unapologetically pointed out.
A case for the development of blood transcriptional biomarkers has been extensively argued elsewhere [37], [38], and the application of a 'modular' approach to genomic analysis of the response of SLE patients to treatment has been described recently [39].
The advantages of a metaphysiological over a demographic paradigm in developing general trophic interaction models has been extensively argued by one of us [21], [22], [31], [38] and its value as a framework for understanding mammalian herbivore ecology has been developed in detail by the other [39].
Thus, as extensively argued before [ 4, 5], plasma/serum measures of monoamine metabolism and especially the ratio between their metabolites serve as a useful proxy for widespread and general changes associated with illness and medication.
Although the moral and legal obligation (within the global justice framework) of high-income countries to the support of health research has been persuasively and extensively argued [ 26, 27], no studies have been published on the extent of this obligation [ 22].
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The psychologist Alison Kidd, whose research Sellen and Harper refer to extensively, argues that "knowledge workers" use the physical space of the desktop to hold "ideas which they cannot yet categorize or even decide how they might use".
Carol Burris, an award-winning principal from Long Island, has written about this extensively, arguing that "an unhealthy obsession with testing is producing a toxic mix" parents and children increasingly feel (see here).
Those who have used email, along with those who have studied it extensively, argue that it is the most important mechanism since the telephone for developing interpersonal relationships [ 3].
In 2007, I intervened in Bond, a case I had reported on extensively, and argued that particular documents produced by the City under a protective order -- among them, the complaint files of the individual officer defendants and the list of officers with the most citizen complaints in a five year period -- were public in nature.
These results, described more extensively above, argue against an important contribution of the physical (lobular) location, and strengthen the evidence for the direct relation between zebrin identity and Purkinje cell activity.
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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