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Discover LudwigThe phrase "greater pool of" is correct and usable in written English
It can be used when referring to a larger or more diverse group of options, resources, or individuals available for selection or consideration. Example: "By collaborating with other organizations, we can access a greater pool of talent for our project."
Exact(28)
The expanded audience publishers find in going free creates a much greater pool of people to convert into customers of some other product.
Some critics say the alliance could lead to a greater pool of passengers vying for seats on the more popular routes.
Yet with such outstanding players as Allen Iverson, Vince Carter, Chris Webber, Jason Kidd, Stephon Marbury and Shaquille O'Neal, the N.B.A. has never had a greater pool of young talent than it does today.
"The speed of the internet means that websites can provide information quicker, and its size means that a far greater pool of talent can potentially be accessed in a single sitting.
The for-profit side could take on debt and make use of traditional sources of financing, making the company less dependent on grant cycles and donations and giving it a greater pool of capital.
It seemed to him, he added, that many Catholics who were calling for an end to celibacy were doing so out of "pragmatism" — presumably, that is, in order to have a greater pool of men to call on for the priesthood.
Similar(32)
That may be changing as a result of events, with the French in particular pushing strongly for greater pooling of intelligence following the Paris attacks.
The prime minister may find himself in the slightly curious position of encouraging Merkel to take steps towards greater pooling of eurozone sovereignty that she currently finds unacceptable.
"Local areas have chosen to be more ambitious, to pool more of their budgets than we had asked them to," said Lamb. "This has to be the start of a shift towards a much greater pooling of resources".
More broadly, the Frankfurt-based central bank is also making explicitly political demands of eurozone government leaders, urging them to streamline and integrate the institutional architecture linking the 17 countries, meaning greater pooling of sovereignty and surrender of national powers in fiscal and budgetary policy.
Instead, the euro zone would have to start moving towards greater pooling of sovereignty and sharing of liabilities.Six months on, the European summit (December 13th-14th) that was supposed to decide how to move towards a greater degree of fiscal federalism has just ended with a demonstration of how far European leaders have retreated from such notions.
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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