The part of a sentence "are not without their problems" is correct and usable in written English.
You can use it when you want to explain that even though something may seemingly have advantages, it also has difficulties and drawbacks. For example, "Self-driving cars are not without their problems; while they eliminate the need for a human driver, they also require expensive technological infrastructure."
These steps are by no means sure to work and are not without their problems.
Similar to pure organic cells, these hybrids are easily manufactured cheaply in a beaker.These new solar cells are not without their problems.
We've gone back further still, to the 1930s, and the fictional seaside town of Kiplington and its surroundings are not without their problems: poverty (there was a lot of it about at the time), chauvinism, a lack of ambition, council corruption, small town pettiness and narrow-mindedness.
People living in the west are not without their problems, of course – water and electricity have to be purchased, and as the Syrian pound is at a fraction of its pre-war value, they can easily eat up a third of a salary.
And the 529 account plans are not without their problems.
However, as many critics have uncovered and are making evident, nationalistic practices are not without their problems.
To be sure, the states and cities that have adopted a medical examiner system aren't without their problems.
The communities aren't without their problems, she says, but it's better than in towns such as Derby, Fitzroy Crossing, Halls Creek and, to a lesser extent, Broome.
Cryptocurrencies have certainly had their own problems with their wallets and exchanges — even ID-kaarts are not without their technical problems — but the distributed ledger technology holds firm for Estonia and for cryptocurrencies.
It's true that humanure toilets are not without their own problems.
Unfortunately, audiophiles steeped in the old-school of analogue recording often find the purer digital sounds of CDs to be edgy and even alien.But solid-state amplifiers are not without their own problems.
