The phrase "ability to manipulate their" is correct and usable in written English.
It can be used when discussing someone's skill or capacity to control or influence something, often in a context related to technology, data, or social interactions.
Example: "The ability to manipulate their emotions is a powerful tool in negotiation."
Alternatives: "capacity to control their" or "skill to influence their".
Facebook's power and dominance, its knowledge of every aspect of its users' intimate lives, its ability to manipulate their – our – world view, its limitless ability to generate cash, is already beyond the reach of any government.
To eliminate the ability for knowledge workers to perform deep work is like putting assembly line workers in thick gloves that hamper their ability to manipulate their tools — it's an absurd self-imposed handicap.
New rules could give companies the ability to manipulate their financial statements under the guise of valuing their intangible, human assets.
His programs give Aibo owners the ability to manipulate their robot dogs, but only if the user has a legitimate copy of Sony's software.
Phage are increasingly being recognized for their ability to manipulate their hosts using host-acquired genes.
Their importance in metabolism, combined with the ability to manipulate their ligand-dependent activity, make NHRs attractive drug targets for the treatment of metabolic disease.
Their presence in so many insects and other arthropods, and their abilities to manipulate their hosts to their advantage, in ways that may have created many thousands of new species, makes Wolbachia are a leading candidate for the world's most dominant life-form.
While this scenario is mostly a theoretical construct, it is inspired by the ability of microbes to manipulate quorum-sensing systems31 as well as the ability of parasites to manipulate their host's behavior32.
Filling in a three-to-six-hour work shift with movements requires that models have the ability and imagination to manipulate their bodies with natural, fluid gestures; the confidence to do it costumed or naked; and the mental and physical strength to remain still in one position for extended periods.
As the animals became more adapted to aquatic locomotion and lost the ability to manipulate food with their forelimbs, they started grabbing their food and swallowing it whole.
Shared traits included their ability to manipulate the mass media, their good standing with Mao, and their dislike of and subsequent desire to overthrow moderate government officials who clustered around Liu Shaoqi and Deng Xiaoping.
