"shared pursuit" is correct and usable in written English.
You can use it when referring to a goal that two or more people or entities are working towards together. For example: "Our shared pursuit is to create a world free of poverty."
"We have this unity based on shared pursuit of science".
Everyone was going to join in the shared pursuit of the capitalist ideal.
In the shared pursuit of elucidating detailed mechanisms of cell function, systems biology presents a natural complement to ongoing efforts in cell biology.
"Publishing is a shared pursuit, driven by a lot of personal passion," said Gerald Howard, executive editor and vice president of Doubleday, a part of Random House.
Universities are supposed to be melting pots of ideas and disciplines, bringing together people from all backgrounds in the shared pursuit of intellect and progress.
It was a perfect Parisian tone of voice — not disputatious, just suggesting a love of the shared pursuit of the truth, which, unfortunately, happens not to be in your possession right now.
They no longer play – "after all, we're 100," Herb points out – but those years of athletic endeavors, as well as a mutual passion for travel, provided the type of shared pursuits experts say help keep a marriage interesting.
With more than 1.5 million Ning Networks created and 33 million registered users, millions of people every day are coming together across Ning to explore and express their interests, discover new passions, and meet new people around shared pursuits.
Her new projects examine consumer motivation in social settings, such as shared goal-pursuit groups (e.g., Weight Watchers) and pro-social behaviors (e.g., motivation behind donations).
They also call on the Education Committee to support the more informal "Circles," organized around shared intellectual pursuits, by helping them "procure a suitable room…during the winter sessions" (Masterman Coll., Box 2 Seq. 500).
While these ambitious fellows shared common pursuits, they did not always agree on the significance of their findings.
