The phrase "indicate that while" is correct and can be used in written English.
The phrase is used when you want to introduce a conflicting idea or opinion that contrasts with what was previously mentioned. Example: "The reports suggested that the new law would provide more access to healthcare, but they also indicated that while these rewards may be substantial, they could also come with significant costs."
Our findings indicate that, while other demographic categories were not consistent indicators of text-matching, full professors were the most prevalent group to produce self-plagiarized abstracts.
Field observations indicate that while these faults do exist in outcrop, there are few geomorphic indications of recent fault motion.
The results indicate that while Americans favor the principle behind Mr. Bush's initiative, they oppose many of the details.
Intelligence intercepts indicate that while they can coordinate their actions, they compete and quarrel with one another like anyone else.
Disclosures so far indicate that, while privately held corporations have taken advantage of this, publicly traded companies have not.
Records indicate that while they were married, an order of protection had been issued against Mr. Dyess.
"Studies indicate that while you may incur slightly higher capital costs to build the private rooms, it can save on operating costs because you can serve more patients".
(In fact, early reports indicate that while traffic across the Oresund is up 75percentt since the bridge opened, it is pretty even both ways).
"Studies indicate that while white working-class pupils do not have English as a specific barrier, language and literacy skills are an area of concern.
Surveys done by the company indicate that while people are suspicious of authority in all forms - from politicians to big corporations - they do trust their peers.
Those failings indicate that while the suspense has gone out of the division race, there will be plenty of intrigue coming from the trainer's room.
