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The phrase "effectively explains" is correct and usable in written English.
You can use it when describing how well something clarifies or communicates a concept or idea.
Example: "The article effectively explains the complex theory in a way that is easy to understand."
Alternatives: "clearly articulates" or "successfully clarifies."
Exact(16)
In "What AIDS Means in a Famine" (Op-Ed, Nov. 19), Alex de Waal effectively explains the breakdown in African countries because of hunger and disease.
"Morning Sun" effectively explains Mao's strangulation of outside influences, cutting off the Western arts that were still offered to children until the 1960's.
But by and large, the "Ike's Bluff" theory effectively explains his behavior in the Korean War, the Suez Canal crisis, the showdowns with China over the islands Quemoy and Matsu and the downing of an American U-2 spy plane in the Soviet Union.
The above mechanism effectively explains all the emulsification and mechanical property observations.
In this study, we confirmed that an almost vertical single dike effectively explains the observed tilting vectors.
"It's the flow of information back and forth so that everyone can understand what's being sent and can communicate effectively," explains Page.
Similar(44)
She effectively explained how every action to help one person has a ripple effect through time and space.
At the intermediate level, how to discard a loser on a loser is effectively explained.
The "Edison's Lab" pages also effectively explain, through simple diagrams, how some of Edison's inventions actually worked.
This underestimation may have been understandable, given the decisions by other EU member states not to open their borders, but this was not effectively explained to the public.
They should each be able to effectively explain how their respective proposals would improve the sustainability of the spaces they observed.
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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