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Discover Ludwig'run ahead' is a correct and usable phrase in written English.
It is usually used as an encouragement to continue to move forward or to get ahead of someone in a race. For example, you could say "Run ahead and I'll catch up!".
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Expenditures run ahead of production.
But this is to run ahead.
Expectations increase and always run ahead of performance.Humphrey Taylor.
But events may run ahead of the SLS.
But there is reason to think that technological changes could run ahead of legal ones.
But I stop again, this time insisting that Daniel run ahead.
If it didn't run ahead, there might be no race at all.
These trends are allowing growth in output to run ahead of growth in employment.
I want to qualify and run ahead of some of the established teams such as Lotus.
While the US has stood on the sidelines, intra-Asian agreements have run ahead.
"Physics has run ahead of humanity," declares Möbius, "and humanity needs the chance to catch up".
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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