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The phrase "a painstaking analysis" is correct and usable in written English.
It can be used when describing a thorough and meticulous examination of a subject or data.
Example: "The researchers conducted a painstaking analysis of the data to ensure the accuracy of their findings."
Alternatives: "a thorough examination" or "a meticulous review."
Exact(10)
One was a painstaking analysis of the shooting that weighed physical, ballistic, forensic, and crime-scene evidence, and statements from purported eyewitnesses.
In large part, "Gospel According to the Klan" is an exegesis of these less-than-sacred texts, a painstaking analysis of the banal.
An editor at The News asked why the newspaper's failure to note a few favorable reports should undermine a painstaking analysis of hundreds of state inspection reports, when no factual errors were found.
Without elaborating, the American official said the United States had "convincing" evidence such systems are in Iraq, and said analysts had subjected the Kuchma recording to a painstaking analysis.
In a painstaking analysis, the Tax Policy Center showed that achieving all of Mr. Romney's top-line goals — a revenue-neutral overhaul that does not increase the tax burden of the middle class — is not arithmetically possible.
A brilliant autodidact — he had little formal education — Lincoln augmented his innate moral code through vast book learning, as Professor Miller showed through a painstaking analysis of Lincoln's better- and lesser-known writings.
Similar(49)
Finding valid studies required painstaking analysis of a huge volume of literature, most of which is fundamentally flawed (16 ).
So we get "Harry's smash-hit novella 'Daisy Miller,'" and "Harry finished his final installment of 'The Portrait of a Lady,'" and Leon Edel's "painstaking analysis of Harry".
Ms. Rosch: I did a painstaking cost analysis several years ago and keep extrapolating upwards to keep up with costs.
Nevertheless, Mutawi declared that a "painstaking forensic analysis" of T.I.B.C. had left no doubt that the loan book had been "created and operated" by "fraudulent means".
That's the justification for all that painstaking analysis: the consultant who crunches a mountain of numbers to come up with an idea that the C.E.O.
More suggestions(17)
a detailed analysis
a continuing analysis
a tedious analysis
a painful analysis
a painstaking analysis
a prudent analysis
a careful assessments
a careful parsing
a careful analytic
a thoughtful analysis
a scrupulous analysis
a careful analytical
a careful assessment
a careful analysis
a thorough analysis
a meticulous analysis
a careful analyses
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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