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The phrase "undoubtedly exists" is correct and usable in written English.
It can be used to assert the certainty of the existence of something, often in a context where evidence or belief supports that assertion. Example: "The phenomenon of dark matter undoubtedly exists, as supported by various astronomical observations."
Exact(28)
The business case undoubtedly exists.
Some overlap undoubtedly exists, as some fans watch the episode both on TV and online.
But such a trade-off undoubtedly exists in the short term.
In doing so, she creates a bridge of understanding across the gulf of incomprehension that undoubtedly exists between the sexes.
Unconscious bigotry undoubtedly exists, but the best judges of that are readers, listeners and viewers -- and competitors -- rather than state agencies armed with subpoena powers.
This statistic, appallingly high as it is, is admittedly nuanced in the why, where and how; nonetheless, harmful discrimination undoubtedly exists.
Similar(32)
For many black communities taboos around mental health undoubtedly exist.
Though such terms undoubtedly exist in Chinese, they weren't yet in my vocabulary.
Such pieces undoubtedly exist, although there is of course much that is clearly beyond rescue.
Jane Lubchenco, the respected marine biologist who runs the National Oceanic and Atmospheric Administration, has said that plumes undoubtedly exist.
The culture indicated by the phrase "opera queen" became visible in pioneering openly gay communities of the late nineteenth century, and undoubtedly existed long before that.
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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