The phrase "again they find" is correct and usable in written English.
It can be used when referring to a repeated discovery or realization by a group of people.
Example: "After searching for hours, again they find the missing keys in the most obvious place."
Alternatives: "once more they discover" or "they find again".
Again and again they find themselves in one odd embrace or another: the images create a strange poetry.
People give them up and resolve to avoid them; yet again they find themselves humming the forbidden air, or using the prohibited word.
After a quick bit of smart phone research (Wilson's malware skills coming in handy again) they find the name of the Pergus CEO: Lane Monroe.
There's no doubting that Harvard, Cambridge, Stanford, Yale and Oxford have affirmed themselves as world class universities but, yet again, they find themselves falling in MIT's vast technological shadow.
The Huskies (29-6) were the preseason selection of many to win it all, and once again they find themselves front-runners in the championship race after their Big East tournament title and dominant performances over Vermont and DePaul.
Once again, they find themselves appearing together in the high school musical and Troy even finds that his future in college sports is open to question: should he instead try out for New York's prestigious Juilliard school for the performing arts?
Again, they found that those who described themselves as having less power were more negative in finding a solution, while the more authoritative partners were positive, hard-working, and communicative.
Once again, they found no violations.
Again, they found the effect of family size was negligible.
Again and again, they found themselves returning to the condominium two doors down.
Again they found that all vibrations can be built up from simpler ones, the normal modes.
