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"substantial advance" is a correct and usable phrase in written English.
You can use it to refer to a large or significant progress in a subject or area. For example, "The research made a substantial advance in the understanding of cell behavior."
Exact(60)
That was a substantial advance for the party in 2005.
substantial advance on everything that has come before.
"Not only was there this substantial advance, but Random House had a big publicity machine".
This gives her work a substantial advance on that of most filmmakers.
Oxford said that he got a "substantial advance," according to The Associated Press.
This study represents a substantial advance and emphasises the potential for bioengineered organ replacement in future regenerative therapies".
Nonetheless, these analyses represent a substantial advance in knowledge about several measures of biodiversity inside versus outside protected areas.
Considering the difficulty in controlling localized 3D wave packets, Lahav and colleagues' results constitute a substantial advance.
The work seems to represent a "very substantial advance" in the understanding of these materials, says IBM's Theis.
Although there was some good economic news, investors still chose to take profits from a substantial advance on Monday and from a two-month fall rally.
Robert S. Miller, president of Hyperion, said of the contract: "It will be a substantial advance because the potential was substantial.
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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