"ever present question" is correct and usable in written English
You can use it to refer to a question that is continuously relevant and important in a particular context. For example: "The ever present question in economic policy is how to ensure sustainable economic growth."
It is also a cyberspace take on the ever present question of the status of the original in the age of mechanical reproduction.
On top of that, with the rise of ad tech, there is an argument to be made, he points out, for solutions that really are better sitting alongside other services, rather than standalone businesses (which goes back to that ever present question of whether a startup is a platform or a service).
All in all, this book posed a very imaginative and awe-inspiring answer to the ever-present question, Are we alone?
"There's that ever-present question about the last boyfriend, the boyfriend from home, whether or not to get together with him again over break".
How should Israel and its friends think about this "Israeli experience" and connect it with the ever-present question of Israeli-Palestinian peace?
"It's an unusually objective witness to what we've been through -- two world wars, massive dislocations in the Depression, the ever-present question of race, that is to say, minstrelsy and Jim Crow and lynchings and all of that.
The mothers reflect on the careers they have left behind, the ways their marriages (and sex lives) have changed, and the ever-present question of whether to return to work.
It's an ever-present question on the E3 show floor the next day, packed with thousands who queue for hours to play the forthcoming sequels, who pose with the booth girls (so heavy with make-up and affected smiles), who jostle to catch the hurled promotional T-shirts and tuck the shiny promotional posters in last year's promotional rucksacks.
Coming on to the ever-present question of sex (leaving aside the mistresses and girlfriends), there's also Mailer, the husband of Bea, Adele, Jeanne, Beverly, Carol and Norris (four wives before he was 40 number two notoriously stabbed with a penknife), the alimony slave and the father of eight, or possibly nine, children.
Finally, there is the ever-present question of self-selection.
It ultimately comes down to the ever-present question of innovation.
