The phrase "able to resolve their" is correct and usable in written English.
It can be used when discussing someone's capability to find solutions to problems or conflicts that belong to them.
Example: "The team is confident that they are able to resolve their differences through open communication."
Alternatives: "capable of addressing their" or "able to settle their".
String theorists have still not been able to resolve their equations into testable hypotheses.
'WHEN MUPPETS DREAM OF PEACE' (Saturday) Muppets always seem able to resolve their differences amicably; human beings are another matter.
The paychecks and the profit-and-loss statements may indicate that the writers and the producers should be able to resolve their dispute quickly.
United States District Judge Susan Richard Nelson ordered the talks as a lifeline to parties she thinks should be able to resolve their differences without her involvement.
The Sunni minority who felt excluded by Nouri-al-Maliki's government should be able to resolve their concerns without walking into the lethal embrace of Isis.
Ms. Merrill said she doubted that lawmakers and the governor would be able to resolve their budget differences by the General Assembly's June 3 mandatory adjournment deadline.
Through the touch of a button, through a cell phone, residents should be able to resolve all their standing issues with the government.
Over 1,000 people every day are still asking us to sort out PPI problems that they've not been able to resolve directly with their bank".
The joint statement by lawyers for the American Civil Liberties Union of New Jersey and the Justice Department, representing the immigration service, said the two sides were able to resolve most of their differences over the court order's meaning.
Endovascular rescue therapies, such as percutaneous transluminal balloon angioplasty and intra-arterial spasmolysis, are able to resolve angiographic vasospasm, but their effect on outcome needs to be proved.
Apart from replacement of faulty study devices, the participants were able to resolve most issues on their own, such as restarting closed loop after loss of pump connectivity or sensor data unavailability.
