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The phrase "a tangible breakthrough" is correct and usable in written English
It can be used to describe a significant and concrete advancement or discovery in a particular field or context. Example: "The researchers announced a tangible breakthrough in cancer treatment that could change the lives of many patients."
Exact(1)
In 2000, he decided that he understood the fundamental science well enough to, in his words, "go for it," and, at the 2011 national meeting of the American Chemical Society, he announced a tangible breakthrough: a cheap, playing-card-size coated-silicon sheet that, when placed in a glass of tap water and exposed to sunlight, split the water into hydrogen and oxygen.
Similar(59)
"We don't know what that satellite saw until we can get a much better, much closer look at it but this is the first tangible breakthrough in what up till now has been an utterly baffling mystery," Abbott said upon his arrival in Papua New Guinea on a trade mission.
"It's a real breakthrough," he said.
"It's a real breakthrough.
What an outstanding year, a real breakthrough.
ARPA-E is filling the gap where you take science and new discoveries and translate that into something tangible, a breakthrough in a technology that could be a game changer in the future.
It makes a tangible difference.
"It involves absolute truth, a tangible asset.
And Sir John left a tangible legacy.
Solidarity is a tangible asset.
Truth is a tangible entity.
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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