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The phrase "analysis of the reason" is correct and usable in written English.
It can be used when discussing the examination or evaluation of a specific cause or justification for an event or situation.
Example: "The analysis of the reason behind the project's failure revealed several critical flaws in the planning process."
Alternatives: "examination of the cause" or "evaluation of the rationale."
Exact(4)
As proof of the strange hold childhood remembrance has on us, I think I am justified to print once, and only once, my considered analysis of the reason I must live for the rest of my life with an almost painful craving for mayonnaise made with fresh eggs and lemon juice and good olive oil: GRANDMOTHER'S BOILED DRESSING 1 cup cider vinegar.
After an analysis of the reason for the failure of the reaction using aniline as a starting material, formanilide has been prepared, for the first time, from CO2, H2 and aniline with the use of 1,8-diazabicyclo[5.4.0]undec-7-ene.
In some cases, differences in solubilities can be attributed to differences in the thermodynamic databases used but, due to generally incomplete documentation, both of such databases and the criteria for data selection, detailed analysis of the reason for such discrepancies is precluded.
Analysis of the reason for delivery by caesarean section following induction highlighted that women who were obese had a greater incidence of 'unsuccessful induction' noted as reason for caesarean section compared with their normal weight counterparts (8.8% obese versus 3.6% normal weight; Table 5).
Similar(56)
(iii) An analysis of the reasons the Department was unable to provide such care and services.
Castells et al. (2009) offer a thorough analysis of the reasons with detailed growth data for the Middle East.
Analysis of the reasons for deformation shows an intumescent rock, which is easily damaged.
This book tells the story of his efforts and his analysis of the reasons for their ultimate failure.
The study provides an analysis of the reasons for the changes in gas sensor properties during thermal treatment.
In his analysis of the reasons for the recent spike in gasoline prices, Mr. Krugman says that "hardly any important politicians have spoken about conservation... this past decade".
It also asks for an "analysis of the reasons for failure to develop the adequate transmission capacity," along with "recommendations for achieving adequate transmission capacity".
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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