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"however, paradoxically" is correct and usable in written English
You can use this phrase to introduce a sentiment that is opposite of the one that came before it. For example: "He wanted to get ahead in the business world, however, paradoxically, he chose to focus on his personal life instead."
Exact(45)
It both confirms their alignment with Western Europe and, however paradoxically, their independence: until 1991, Slovenia had been subject to outsiders throughout its history.
However, paradoxically, the same U.S.S.R. was one of the poles of international politics, and therefore we can't throw out that heritage and call that era a black spot in our nation's history.
However, paradoxically a "populist" movement may have a chance where "established" political parties have miserably failed to make acceptable choices that will involve sacrifices, by engaging people into a broader project of transformation.
"The historian must be, in this sense, a social critic; for it's by means of such criticism that the past liberates even as it oppresses the present and future -- very much as the historian, however paradoxically, simultaneously performs both acts upon the past itself," Mr. Gaddis writes.
Yet directors who looked more clearly at the history and the modern circumstances of blacks in America (starting with Oscar Micheaux, in the silent era) have done so, however paradoxically and however infuriatingly, on the basis of Griffith's cinematic vision, which was far more enduring and more significant than his benighted historical vision.
However, paradoxically, only the use of A2-PEO100 A2-PEO150150 as reactive grafts affords water-soluble dendrigrafts due to higher PEO weight content (respectively, 41 and 36%).
Similar(15)
Many of the newcomers know little of the hall's history, however, and paradoxically, the hall's recent success has left members of its board worried that the place is losing its Czech and Slovak identity.
A generic challenger, however, may paradoxically be stronger than the actual challenger.
In this model, as expected b1 achieves a concentration dependent increase in B*max, however, somewhat paradoxically, the presence of b1 limits the magnitude of Bmax that is achievable in the unified model.
Restoration of blood supply is essential to salvage the myocardium; however, this paradoxically results in further injury to the myocardium.
However, we paradoxically found that doctors who were more experienced in seeing AChE results valued the test less.
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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