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The phrase "ability to establish a" is correct and usable in written English.
You can use it when discussing someone's skill or capacity to create or set up something, often in a professional or academic context.
Example: "Her ability to establish a strong rapport with clients has significantly improved our business relationships."
Alternatives: "capacity to create a" or "skill in forming a".
Exact(60)
The acquisition could significantly enhance China's ability to establish a blockade around Taiwan, the report contends.
Fast Society's ability to establish a group's expiration date is a major advantage.
This relates directly to their ability to establish a connection between the reports and the safety of the products.
I particularly liked the Harmony's ability to establish a series of macros (it calls them Activities) by itself.
On the demerit side, a detectable Balenciaga influence in the proportions and layers cast a degree of doubt over the designers' ability to establish a clear brand identity.
On his recent tour of Africa — his fifth since 2001 — Mr. Clinton showed a remarkable ability to establish a human connection with people he met.
Long-term private finance initiatives deals reduce the department's ability to establish a level playing field of financially sustainable, autonomous trusts.
"We don't have the ability to control drug costs, because the state doesn't have the ability to establish a formulary," said Jim Edge, Oregon's assistant state Medicaid director.
In particular, Sickert was indebted to Degas for the ability to establish a situation merely through the attitudes of his figures.
That Gavi has deemed Ghana able to introduce rotavirus and pneumococcal vaccines together is a vote of confidence in the country's ability to establish a "cold chain".
In a National War College lecture, he argued that "our safety depends on our ability to establish a balance among the hostile or undependable forces of the world".
More suggestions(16)
ability to ascertain a
ability to determine a
ability to achieve a
leadership to establish a
difficulty to establish a
competence to establish a
ability to formulate a
ability to implement a
success to establish a
ability to define a
ability to forge a
determination to establish a
ability to creating a
tools to establish a
opportunities to establish a
abilities to establish a
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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