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The phrase "a very long analysis" is correct and usable in written English.
You can use it when describing the length or depth of an analysis in various contexts, such as academic writing, reports, or critiques.
Example: "The research paper included a very long analysis of the data collected over the past decade."
Alternatives: "an extensive analysis" or "a lengthy analysis".
Exact(1)
This web page, which is linked, is a very long analysis on human suffering.
Similar(59)
Taken together, these limitations would result in very long analysis times.
And then he sent its author a very long email of analysis, comment, reminiscence and congratulation.
There was a significant difference in mortality between patients with a short delay, compared with those with a very long delay in the univariate analysis but when correcting for relevant factors this was no longer significant in the direct analysis.
"Since the 1990 Clean Air amendments, the state and local governments have come a very long way," said Jeff Clark, director of policy analysis in the Office of Air Quality Planning and Standards at the environmental agency.
Principal component analysis (PCA) has a very long history and is known to be a very powerful tool in the linear case.
A very long time.
A very long nose.
A very long time indeed.
"A very long two hours.
A very long way, indeed.
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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