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The phrase "explained with reference to" is correct and commonly used in written English.
It is typically used when providing an explanation or clarification for something, often in an academic or formal setting. For example: The concept of supply and demand can be explained with reference to the law of diminishing marginal utility. In this sentence, "explained with reference to" is used to introduce an explanation of supply and demand by referencing the law of diminishing marginal utility.
Exact(54)
Like many aspects of Japanese society, rental relatives are often explained with reference to the binary of honne and tatemae, or genuine individual feelings and societal expectations.
Yet, when music passes from one generation to another, it leaves most of its social significance peeling off dorm-room walls, and its persistence is best explained with reference to beats, chords, and raw emotion.
Like all good normaliens, as well as fashion-conscious American intellectuals, Bell is interested in ideas, culture and language, and he is rather dismissive of the idea that nationalism might be explained with reference to social, economic and technological change.
The strange endurance of this hymn to summer dogging can only, I suppose, be explained with reference to its 1987 video, which shows the antics of a group in fetish gear, all being watched by a furiously mime-masturbating Idol.
The program showed that a lot in Luening's career can be explained with reference to his teacher, Busoni: the willingness to explore electronic music and, what might seem contradictory, the continuing attachment to older styles, including those especially of Bach and Mozart.
Human conduct, insofar as it is rational, is generally explained with reference to ends or goals pursued or alleged to be pursued, and humans have often understood the behaviour of other things in nature on the basis of that analogy, either as of themselves pursuing ends or goals or as designed to fulfill a purpose devised by a mind that transcends nature.
Similar(5)
He went onto explain with reference to a description printed off from KnowYourMeme.com ("and there is such a thing as a website called that").
Interdisciplinary Connections: Economics- Using a variety of arguments and graphs, explain, with reference to costs and rates, a persuasive answer to the question,"How valuable is your time?" Geography- On a world map, locate and label the different international time zones.
Can you explain, with reference to the specific issues and broad direction of the court's critical role in interpreting the Constitution, and the makeup of the court today, why it is important that voters choose you to appoint the next Supreme Court justice?
— Atul Gawande * Can you explain, with reference to the specific issues and broad direction of the court's critical role in interpreting the Constitution, and the makeup of the court today, why it is important that voters choose you to appoint the next Supreme Court justice?
— Ken Auletta — Atul Gawande * Can you explain, with reference to the specific issues and broad direction of the court's critical role in interpreting the Constitution, and the makeup of the court today, why it is important that voters choose you to appoint the next Supreme Court justice?
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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