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The phrase "after the lower" is not correct and lacks clarity in written English.
It may be used in contexts where you are referring to something that follows a lower point or level, but it needs additional context to be meaningful.
Example: "The results were recorded after the lower threshold was reached."
Alternatives: "following the lower" or "subsequent to the lower".
Exact(51)
After the lower house responded by rebuffing the government, Mr. Lobachev returned to a hero's welcome in Almaty.
Early humans, he observed at the time, did not start using hooks until after the lower palaeolithic.
This arises from the inaccessibility of nanometre size pores which are present in abundance after the lower temperature carbonization steps.
In the near term, this means going after the lower end of the PC and tablet market.
Finally, Corley added many links to DeCSS on his Web site after the lower court issued a preliminary injunction barring him from posting the code.
Harvesting the fibre usually takes place after the lower portion of the stalk has turned yellow but before the fruit is fully mature.
Similar(9)
Lamont, who died shortly after the lower-court decision - remained exonerated.
"Yoga should be for everyone," Matt Hillock, a blissed-out, wrung-out student, said after the lower-priced class.
And they've built this empire not by going after the lower-common-denominator with cheap products.
He argues that it will be a challenge for Android to go after the lower-cost market.
Nonetheless, the decline across the morning in reaction times and various measures of cognition was less after the lower-GL meal.
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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