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"explain the logic" is a perfectly correct and usable phrase in written English.
For example, you could say: "Can you explain the logic behind your choice to hire that contractor?".
Exact(28)
"If you find yourself in a nightmare, there's no trying to explain the logic of it.
"I think we have failed to explain the logic of our actions to our workers.
He must explain the logic behind its monetary decisions but stand firm against pressure to influence them.
When schools open in September, Dr. Benjamin should make it her full-time job to explain the logic and unknowns of inoculation.
In a monotonous voice, his spectacled eyes focused on the text, he used uncharacteristic pathos to explain the logic of his plan.
Mr. Hammond, who answered questions for 10 minutes, refused to respond to one reporter, Michael Finnegan of The Los Angeles Times, telling him: "I'm really not answering your questions until you can explain the logic of your last story.
Similar(30)
Brinkley explains the logic of the costly proceedings.
Jon Lee Anderson explained the logic of Obama's new approach to Cuba.
That's Jay Z in Billboard, explaining the logic behind Tidal, the streaming service he officially launched on 30 March.
There was no "Letter from Birmingham Jail," smuggled out in pieces, explaining the logic of a nonviolent approach to change.
President Theodore Roosevelt wrote a letter in 1907 explaining the logic behind leaving "In God We Trust" off a $10 gold coin.
More suggestions(19)
explain the rationale
explain the reasoning
explain the rationality
interpret the logic
explain the mindset
explain the theory
explain the diagram
articulate the logic
explain the argumentation
elucidate the logic
explaining the logic
outlines the logic
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told the logic
explained the logic
explain the thinking
explains the logic
suggests the logic
clarified the logic
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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