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"close analysis of the" is a correct and usable phrase in written English.
You can use it when you are referring to in-depth, detailed examination or evaluation of a particular thing. For example, "The professor conducted a close analysis of the student's essay to determine the grade."
Exact(60)
Close analysis of the above pieces of legislation confirms these fears.
Fine words, but a close analysis of the core texts shows all the old, male-blaming biases are still there.
Here he uncovers sources all but unknown to non-Iranians and still has time and breath for a close analysis of the disputed presidential election last June.
Who says the literary novel is dying?" On the book club website, readers undertook some close analysis of the relations between the novel's different narratives.
Meanwhile, the McGreevey administration disclosed yesterday that it had started a close analysis of the seven-year contract that Gov. Christie Whitman's administration awarded a California company in 1998 to install and operate the inspection system.
A close analysis of the three break points reveals the brilliance of Federer and how he plays the big points on his terms.
Many sections of the report are based on close analysis of the situation in more than 100 districts where NATO is concentrating its efforts.
In this lesson, students apply questions like these to a close analysis of the work of Christoph Niemann, as shown in his Abstract Sunday blog.
"The decision whether to bring a case against Sokol will turn on a close analysis of the facts," said Richard L. Scheff, a lawyer at Montgomery, McCracken, Walker & Rhoads.
A close analysis of the language of the classical-age poets reveals the liberal use of Turkish linguistic features, sometimes linked with popular and humorous effects, even to the point of self-parody.
A close analysis of the text, with its accompanying figures, reveals that this word means the slope of an incline essential knowledge for huge construction projects such as the pyramids.
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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