The phrase "able to establish their" is correct and usable in written English.
It can be used when discussing someone's capability to create or set up something, often in a context related to relationships, systems, or organizations.
Example: "The team was able to establish their presence in the market within a few months."
Alternatives: "capable of creating their" or "able to set up their".
Under the pact taking shape today, Democrats would no longer insist that voters be able to establish their identities simply by signing a form at the polls.
These concessions ensured that Protestant dissenters would be able to establish their own educational academies and hold public office in the localities, if not in the state.
Presumably, users will someday be able to establish their own rules -- screening out potential mates who cheer for the Yankees, for example, or are less than 6 feet tall.
While the Maroserana were able to establish their rulers over several south-central peoples, the most outstanding achievement of the dynasty was the creation of two states in western Madagascar, Menabé and Boina.
Eight more years of civil strife, complicated by Brazilian and Argentinian interference, followed Oribe's death before the Colorados were finally able to establish their control, ruling almost continuously for nearly a century thereafter.
The Jets should be able to establish their running game on Sunday against the Jacksonville Jaguars, who have the second-worst run defense in the league (144 yards a game).
"It doesn't create any new claim for damages that didn't already exist and it will only apply where an individual has already been able to establish that their employer was able to blame for their exposure".
Broje and Keller [21] jointly carried out the experiments to determine the performance efficiencies of drum and olephelium skimmers and were able to establish that their efficiencies depend on viscosity, surface materials, speed of rotation etc.
Consequently, patients are then able to establish and satisfy their information needs in a timely and effective manner.
A study conducted by Kassab et al. (2006) found that effective tutors were perceived by students as those who respected their opinions, were able to establish good communications, understand their feelings and advise them on how to learn.
Besides being better able to establish a rapport with their patients, students trained in communication made more correct diagnoses than their untrained fellows.
