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The phrase "allowed the extraction of" is correct and usable in written English.
It can be used in contexts where permission or authorization is given for something to be removed or taken out, often in scientific, legal, or technical discussions.
Example: "The new regulations allowed the extraction of natural resources from protected areas under certain conditions."
Alternatives: "permitted the removal of" or "authorized the extraction of".
Exact(19)
But, for all their simplicity, they marked a major advance in lifestyle: for the first time, the carcasses of dead animals could be dismembered quickly, and favoured parts could be taken for consumption to safer places, where blows from hammerstones allowed the extraction of nutritious marrow from bones.
It allowed the extraction of the ratios of adsorption and desorption rate constants.
This design allowed the extraction of samples at different times, minimizing the perturbation in the system.
The first one allowed the extraction of results concerning general heat transfer characteristics and performance of nanofluids.
Use of ultrasonic images has allowed the extraction of information about the state of the studied materials.
Our task was to determine the best representation that allowed the extraction of the stationary components from the noise and the acquisition of an adequate ARIMA model.
Similar(41)
First, they allow the extraction of patterns that cannot be extracted by embedded patterns.
The agreement "allows the extraction of natural resources and the use of water to be granted practically free of charge to companies", he added.
Note that the distance function δ must allow the extraction of a centroid.
Data analytics allows the extraction of insight or conclusions from existing massive data sets.
This allows the extraction of information with rule-based systems that rely on psycho-acoustic principles.
More suggestions(20)
allowed the operation of
allowed the drilling of
facilitated the extraction of
allowed the production of
allowed the exploitation of
permitted the extraction of
allowed the harvesting of
allowed the exploration of
allowed the retrieval of
allowed the collection of
allowed the mining of
allowed the removing of
permit the extraction of
enabled the extraction of
allowed the removal of
followed the extraction of
possible the extraction of
enables the extraction of
enable the extraction of
enabling the extraction of
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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