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The phrase 'everything else equal' is correct and can be used in written English.
It refers to a situation where all other considerations or variables are held constant, allowing for a comparison of two items that share all other characteristics. For example, "Given that everything else equal, we can determine which of the two proposals is more cost effective."
Exact(17)
Using a multinomial logistic regression, we find that travel patterns are relatively stable along much of the urban-rural continuum, everything else equal.
If you make everything else equal, differences will be increasingly determined by genes.
For example, if a firm places less weight on its own profits and more on the profits of rivals, the rival profits should increase, everything else equal.
If you assume that people do not know what position in society they will occupy, and that they dislike being poor more than they like being rich, they should prefer more egalitarian societies, everything else equal.
In comparison to the PU tariff, the CC tariff is assigned a 0.381 higher rating score, everything else equal.
In order to make causal claims researchers often have to limit the scope of the claim because it must focus on a particular cause and a particular effect in order to establish a relationship between them, holding everything else equal.
Similar(43)
As a sensitivity check, it was noted that, everything else being equal, if any new target reliability level were to be less than or equal to that observed in our study, then the required number of residents' evaluations per faculty should parallel that observed in our study.
"Everything else being equal, the fewer miles we drive, the fewer deer we hit".
"If everything else is equal, the guy with the most money wins".
Most studies of island biogeography reveal a close association between the number of species and island size, if everything else is equal.
Assuming everything else remained equal, the Saudis would still take in $57 billion a year.
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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