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The phrase "analysis of inequalities" is correct and usable in written English.
It can be used in contexts related to social, economic, or mathematical discussions where you are examining disparities or differences.
Example: "The analysis of inequalities in income distribution reveals significant gaps between different socioeconomic groups."
Alternatives: "examination of disparities" or "study of inequalities".
Exact(7)
(1) To conduct a systematic analysis of inequalities in childhood vaccination coverage in Gavi-supported countries; (2) to comparatively assess alternative measurement approaches and how they may affect cross-country comparisons of the level of inequalities.
This frequently precludes even the most basic analysis of inequalities in access to services [ 30- 33].
These measures of inequality provide a broad descriptive analysis of inequalities in MNCH.
Thus our analysis of inequalities in ANC covered only 1993 to 2008.
The pattern of reporting of absolute and relative measures of inequality was similar in the subset of studies (n=96) engaged in comparative analysis of inequalities over time or across populations.
To our knowledge, no study has performed an analysis of inequalities in subjective oral health based on the most recent data on adults' oral health in England, Wales and Northern Ireland.
Similar(53)
Dimon is late to the analysis of inequality in America.
This social-institutional analysis of inequality is characteristic of sociology.
"Coming Apart" is, in effect, an analysis of inequality that rules out a program of redistribution.
Wheatley was an able businessman and devout Catholic whose social thought was grounded in a near-Marxist analysis of inequality.
Coalesce around an analysis of inequality and set of strategic narrative cornerstones that can address the drivers of that inequality.
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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