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'convincingly explained' is a perfectly correct and usable phrase in written English.
You can use it whenever you want to communicate that a concept has been explained to someone with a level of clarity and persuasion that makes them believe it. For example: "The professor's argument was convincingly explained, leaving the students feeling more knowledgeable about the topic."
Exact(29)
So he must be, to have convincingly explained away his international record.
There remains a detail that is not convincingly explained in Mr. Haboldt's fact sheet.
While several individual hypotheses have been put forward, none have convincingly explained this marine signature until now.
Deviations from Q−2 behaviour often observed experimentally for clay dispersions are convincingly explained by the presence of a small proportion of tactoids.
But as Armitstead convincingly explained in her statement, she is a human being with a family and a life outside sport.
But what exactly is being commemorated in a time of unpopular wars whose rationale has rarely been convincingly explained to many Britons?
Similar(31)
Arguments about intentions and consequences cannot convincingly explain the race-conscious design of donor catalogs.
That makes it harder for them to convincingly explain how they sold out just in time.
The Warren Commission, however, was not able to convincingly explain all the particular circumstances of Kennedy's murder.
Thomas L. Friedman ("Drilling for Freedom," column, Oct. 20) convincingly explains that Middle East tyrannies will end when their oil revenues decline.
Moreover, the appellees convincingly explain how the immediate, constant threat of the partial veto power has a palpable effect on their current legislative choices.
More suggestions(15)
persuasively explained
convincingly described
cogently explained
emphatically explained
well explained
convincingly acknowledged
eloquently explained
plausibly explained
strongly explained
convincingly substantiated
effectively explained
convincingly explain
convincingly illustrate this
credibly explained
convincingly explain why
Write better and faster with AI suggestions while staying true to your unique style.
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