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"cumulative process" is correctly and usable in written English.
You can use it to refer to a process in which the result is determined by the accumulation of successive increments or contributions. For example, "Understanding the world's cultural diversity is a long and cumulative process that takes time, effort, and dedication."
Exact(60)
It's a cumulative process but never merely an arithmetical one.
The buildup of carbon dioxide in the atmosphere, already alarmingly high, is a cumulative process.
"Implication is a cumulative process that generates union in the team and mutual respect.
The state is too powerful to reform overnight but, by a long cumulative process, change is made".
Kershaw shows that the decision never emerged at a single meeting: it was part of a cumulative process.
Networking doesn't always produce immediate results, it's a cumulative process; the more you engage with someone, the more you learn.
Perhaps the most basic insight in these models has been the possibility of a cumulative process of agglomeration.
In summary, we have demonstrated that, by facing the same problem repeatedly, collective intelligence in animal groups can become a cumulative process.
These candidates will emphasize that education is a cumulative process that begins at the dawn of life and builds early in life as children learn how to learn.
Instead of limiting utilization to instrumental use, the paper defines utilization as a six-stage cumulative process.
The study is a result of a cumulative process based on our former empirical papers (Silius-Ahonen & Gustavson 2011, 2013).
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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