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The phrase "book explains how" is grammatically correct and can be used in written English.
It is typically used to introduce information or instructions about how something works or can be done. Example: The textbook explains how to solve complex math problems step by step, making it easier for students to understand.
Exact(33)
A new book explains how the Stasi monitored Günter Grass.
Stone's timely book explains how First Amendment doctrine has evolved during the last two centuries.
The book explains how the whole thing started as an idea for a personal organiser.
The rest of the book explains how to capitalize on each type of advantage.
The book explains how a failed ascent of K2 led Mortenson to a small village in north-eastern Pakistan.
"The book explains how a culture turns people into terrorists and martyrs and the threats before us," he said.
Similar(27)
And also this book explained how maths is the language of nature.
As prime evidence, his book explained how big mainframe computer companies like Digital Equipment lost out in the PC revolution.
What if you developed a do-it-yourself book explaining how to use the fabric to make a rain jacket and 99 other cool things at home?
McGinniss's crime was to embed himself with McDonald's defence team, professing belief in his innocence, then write a book explaining how MacDonald was guilty.
2. Write a children's book explaining how nuclear energy is created and the various ways it is used in everyday life.
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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