The phrase "are continually confronting" is correct and usable in written English.
It can be used to describe an ongoing or repeated action of facing challenges or issues.
Example: "In today's fast-paced world, businesses are continually confronting new challenges that require innovative solutions."
Alternatives: "are constantly facing" or "are repeatedly dealing with".
But companies like Uber are continually confronting the obstacle of entrenched government bureaucracy, resistant unions of taxi drivers and dispatchers, and overlapping and sometimes conflicting systems of state and city regulation.
NEW YORK TIMES Upstarts Challenging the Taxi Industry || "Companies like Uber are continually confronting the obstacle of entrenched government bureaucracy, resistant unions of taxi drivers and dispatchers, and overlapping and sometimes conflicting systems of state and city regulation," Nick Bilton writes on the Bits blog of The New York Times.
Parents who are continually confronted with engaging and processing these highly polarised myths often become distracted from seeing children for what they are –just children.
But when Franklin and his older companion, Margaret, embark upon a pilgrimage of sorts, they are continually confronted by ruins: A debris field of tumbled stone and rock, stained with rust and ancient metal melt.
"We have attempted for over a year to negotiate an amicable resolution of this dispute," Hindery said, "and we are continually confronted with misleading statements to the press and obfuscations from Cablevision".
My white friends are continually confronted by the dilemma of how to reply to the taxi driver or the builder or the new acquaintance who launches into a racist diatribe; and the racist jibe is by no means confined to the bottom of the class ladder.
They are continually confronted by oppression and other obstacles, but sympathetic whites provide valuable assistance.
In Devil in a Blue Dress and subsequent Rawlins novels, Mosley used period detail and slang to create authentic settings and characters, especially the earnest, complex protagonist, who is continually confronted with personal, social, and moral dilemmas.
With customer and market diversification of complex customized product demand challenging to modern enterprises, the design process of product is continually confronted with various complicated design information.
As Kirk and his crew crossed the universe, they were continually confronted by challenges completely unfamiliar to them.
I couldn't clearly answer because I was continually confronted with two very different countries: the hopeful, forward-looking nation represented at the festival, and the other, where writers like Avijit Roy were hacked to death right outside the very grounds I was sitting in as the investigation seemed to go nowhere.
