The phrase "a never ending task" is correct and usable in written English. You can use it to express the idea of a task or chore that seems to never end, often implying that it is difficult or tedious. For example, "Doing the laundry is a never ending task in my house - I swear there's always something that needs to be washed!".
Business improvement is a never-ending task.
But until the system changes, it will be a never-ending task.
At one point you write, "Seeking greater inclusiveness is a never-ending task". Is it really never-ending?
Just as this is a living, changing monument, its management and preservation must be a never-ending task.
Lots of creatures want to eat the crops that people grow for their own consumption, and fighting them off is a never-ending task.
I used to run on the content network, but we got enormous numbers of junk hits that were related to searches for sports conferences — and yes, I know that I could have cleaned that up with negative keywords, but that's a never-ending task.
'Like painting the Forth Bridge' has long been a popular term describing a never-ending task.
The search for new adsorbents with higher removal efficiency seems to be a never-ending task for practical applications.
Becoming a better person should be a never-ending task.
Of course, this is a never-ending task because criminals tend to be highly motivated and, in many cases, highly skilled as well as ahead of the curve.
To establish and maintain such a culture of safety is a never-ending task that demands the participation of the fishermen themselves and their families, the boat-owners, the legislators and the community at large.
Thanks to Ludwig my first paper got accepted! The editor wrote me that my manuscript was well-written
Listya Utami K.
PhD Student in Biology, Bandung Institute of Technology, Indonesia