The phrase "are surely interested" is correct and usable in written English.
It can be used to express a strong belief or assumption that someone has an interest in a particular subject or matter.
Example: "Given the recent developments in the industry, I believe that our clients are surely interested in our new product line."
Alternatives: "are definitely interested" or "are likely interested".
Kumar may not be interested in the military, but the military is surely interested in him.
If people were interested in learning about something as complicated as artificial intelligence, many more were surely interested in learning about something much simpler, how to search Google.
The public is surely interested in such a system, which would probably be a great help in tracking down criminals like the sniper who has terrified metropolitan Washington.
It seems to be a match made in heaven for both sides, and the team is surely interested in a union.
Two of the topics mentioned that are surely pique interest involve alleged drug use and the claim that former Florida football coach Urban Meyer "helped cover up failed drug tests, along with two violent incidents" while Hernandez was in Gainesville.
These are surely legitimate state interest.
Among America's corporate leaders, there are surely few whose interests are more closely aligned with their shareholders' than the homemaking icon Martha Stewart.
These are just a few of what are surely many more American interests, including many companies that enjoy high ratings on HRC's CEI and consider themselves pro-gay.
So while these contemporary media outlets are surely serving their own interests, there is hope in comments like Rory Waltzer's, a photographer for TMZ quoted in The New York Times, that unlike stories about Britney Spears, stories of Bernard Madoff and politicians in D.C. have an "impact on the country".
These figures are surely a matter of public interest and should be released without fuss each year.
