The phrase "are flawed in their" is correct and usable in written English.
It can be used when discussing the shortcomings or imperfections of something, typically followed by a noun or noun phrase.
Example: "The theories presented in the paper are flawed in their assumptions about human behavior."
Alternatives: "have shortcomings in their" or "are deficient in their".
His Twitter and Gmail accounts are likely to have two-factor authentication, and using encryption technology is a good idea when online, although smartphones are flawed in their attempts to implement this.
When I am confronted by the "not voting" or "protest voting" crowd, their argument often boils down to one of principle: They can't possibly vote for Trump or Clinton because both are flawed in their own ways.
Now all of these data sources are flawed in their own way.
Both of the games are flawed in their own way but, in another sense, both are perfect examples of the genre.
Civil liberties activists are likewise divided over whether to support the measure as an improvement on existing law, even though it is flawed in their view.
While commendable, the association's outspoken opposition to Ms. Irizarry is a reminder of how accepting it has been of Bush nominees who have been flawed in their ideology.
A recent series of articles in the Lancet noted that, in 2010, about $200 billion (an astonishing 85% of the world's spending on medical research) was squandered on studies that were flawed in their design, redundant, never published or poorly reported.
Early analyses of the crime drop were flawed in their exclusive concentration on trends in the USA.
After careful study and consideration of the scientific studies that formed the basis for the U.S. EPA's 2002 draft RfD as well as the 2004 Massachusetts risk assessment (Mass DEP 2004), the NAS committee considered several of the animal studies … to be flawed in their design and execution.
Urging the supreme court to reassess its relationship with Strasbourg, he said it was the "constitutional duty" of judges to reject Strasbourg decisions they feel are flawed in favour of their own judgments.
