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The phrase "accumulated effect" is correct and usable in written English.
It can be used to describe the result of multiple factors or actions that build up over time, leading to a significant outcome.
Example: "The accumulated effect of years of pollution has severely impacted the local ecosystem."
Alternatives: "cumulative effect" or "compounding effect".
Exact(59)
By designing an objective function in the greedy search algorithm, we propose an accumulated effect evaluation (AEE) algorithm, which is simple and effective and can be used to numerically evaluate the contribution of each feature separately concerning its performance in the combined test.
Sebald would also have appreciated the book's accumulated effect.
The accumulated effect of all those many doses of force has transformed these men.
The accumulated effect is of a fragmented visual poetry, always resonant with Lahav's distinctive sensitivity.
The accumulated effect of so many films made without much money or help or any compromises by Frank was very moving.
That compared with net income of $118.8 million, or $1.06 a share, a year earlier, before the accumulated effect of an accounting change.
Spectacular highlight-reel hits are not the only problem; the accumulated effect of many routine hits may be as bad for the brain.
— DEAN YOUNG The author of "Fall Higher" ECONOMY I put my words in a book tallying what, if any, accumulated effect the labor will produce.
But the accumulated effect of all these comings and goings lingers and seeps down into the foundations, and, weirdly, by falling into ruin the place lays bare its primal circuitry.
The attention to detail is amazing — Coulter will make a great movie someday — but the accumulated effect of all this passionate perfectionism is to suggest a form of self-delusion, the artist having lost sight of the thing most obvious to the viewer, which is that the story he has to tell is too insignificant to hold one's attention for the time required to tell it.
It upholds the infallibility of the Vedas, the doctrines of karma (the accumulated effect of past deeds) and samsara (the process of death and rebirth), the sanctity of the cow, the importance of the samskaras (individual sacraments), the efficacy of Vedic oblations to the fire, and programs of social reform.
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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