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The phrase "effective by" is correct and usable in written English
You can use it to describe something happening or coming into effect, often on a specific date or at a specific time. For example: "The new laws will be effective by 1st January 2021."
Exact(57)
The hormone is only effective by injection, doctors agree.
The vaccines are deemed safe and effective by federal health authorities.
Soon after, he decided he could be more effective by taking political action.
"Here was a therapy proven to be effective by clinical trials.
"A message is always made more effective by a credible messenger.
They are also working to make the bombing more effective by spotting targets for American warplanes.
The composer missed a chance to make this moment stunningly effective by keeping it compact.
I feel you can be effective by being the same size as life, or smaller.
Blears said advertising for internships was already governed by law, so a ban could become effective by tweaking existing regulations.
Similar(2)
The enterprise is part of a well-worn path in developing countries, one made increasingly cost-effective by the Internet.
Both these interventions were very cost-effective by this definition.
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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