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"provided that one" is a grammatically correct phrase in written English.
You may use it when you want to introduce a condition or to refer back to a condition that has already been stated. For example: "We are happy to offer you the job, provided that one of your references is satisfactory."
Exact(59)
An Oscar-nominated counterculture comedy that celebrates abandoning one's marriage (provided that one has been cheated on first, and that one engages in extramarital sex openly, proudly and without bourgeois guilt), the movie took a decade to remake -- by which time its thrust had been painfully dulled.
Classification to ethnic groups was done according to the country of birth of the grandparents on both the maternal and paternal sides, provided that one or both parents were either from the same origin, or Israeli-born.
Although the limiting factors mentioned above may seem a bit discouraging, recent controlled experiments (Eravci et al. 2007) show that even a 25% change in quantity can be reliably detected for a substantial fraction of the proteins provided that one controls experimental variation and software-related problems that have a diminishing effect on reproducibility (mainly spot matching, see below).
Provided that one disregards the precise geometric shape, there is exactly one surface of genus g for every positive integer g.
So it's not unreasonable, Stern says, to call Pluto both a planet and a dwarf, provided that one doesn't cancel out the other.
Our sedentary lifestyles are more to blame for the obesity epidemic than the abundance of "dangerous fats and highly refined carbohydrates," both of which can be consumed safely provided that one expends the same number of calories through exercise.
It takes its place alongside the celebrated 1939ruling on exposure of female breasts in the Flushing World of Tomorrow, which provided that one breast could be presented publicly but not two.
This can be signalled in a FORTRAN program by the instruction "IF" followed by instructions for what to do in either of the alternative cases a marvellous simplification, provided that one knows in advance that there are two cases.
Even though it was the leak that had spurred the program of surveillance, what it amounted to was about as effective a program of spot-checking the private conversations of official Washington as one could put together with a handful of wiretaps, provided that one did not go as far as to tap congressmen or Cabinet members or the chief editors of the news organizations.
then, provided that one of the following conditions holds.
Similar(1)
In 1944 Congress passed a highway bill that for the first time called for a "National System of Interstate Highways," and which provided that one-quarter of each year's federal appropriation to the states for roads that would be used in cities.
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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