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The phrase "are explained at length" is correct and usable in written English.
It can be used when discussing topics or subjects that are described in detail or thoroughly elaborated upon.
Example: "In the report, the various methodologies used in the study are explained at length to ensure clarity and understanding."
Alternatives: "are detailed extensively" or "are elaborated upon thoroughly."
Exact(4)
The sources, processing, and fabrication of these materials are explained at length in several articles: metallurgy; elastomer (natural and synthetic rubber); plastic; man-made fibre; and industrial glass and ceramics.
Engineering procedure manuals follows the customary format of a cover page, spine, 3-ring binder, dividers, introduction and maintenance page, and a table of contents with revision history page and these are explained at length.
The benefits and ill effects of the gold and self-catalyzed materials for the growth of NWs are explained at length.
The fact that all data are supposed to be given to regulators does not solve the fundamental problem of missing data for a number of reasons, all of which are explained at length by Goldacre.
Similar(56)
The concept of information flow diagrams, which indicate the input information needed to predict the performance of an equipment, is explained at length through a variety of examples.
"These were explained at length by [Mosley]."When the abdication crisis came, Mosley's paper, The Blackshirt, defended Edward, under the banner headline "Let king marry woman of his choice".
The book index was the search engine of its era, and needed to be explained at length to puzzled researchers — as, for that matter, did the Hermione-like idea of "looking things up".
The promise of known properties (where rules don't have to be explained at length) and prizes that have real value might have helped "Primetime" win over an audience that had had enough of Gary Unmarried and Knight Rider.
There follows one remaining, and quite extensive paragraph [XIV], which takes up the question how in practice one can ascertain the true motions of bodies and concludes: "But how we are to obtain the true motions from their causes, effects and apparent differences, and vice-versa, will be explained at length in the treatise that follows.
One can reframe "What does it all mean?" to advantage by asking a new question: "Does the world embody beautiful ideas?" (This reframing is explained at length in Wilczek's, A Beautiful Question: Finding Nature's Deep Design). At first glance this question may seem equally vague, and totally unscientific.
It was felt that, thorough explanation of the procedure and post insertion care needs to be explained at length with the care givers [ 24, 27].
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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