The phrase "again during the next" is correct and usable in written English.
It can be used when referring to a repeated action or event that is expected to occur in the upcoming time frame.
Example: "We will meet again during the next scheduled conference to discuss our progress."
Alternatives: "once more in the upcoming" or "again in the following".
The two men talked some more, then again during the next few days.
"I'll see him again during the next few days and we'll continue to talk on how to act against terror.
The provincial population more than doubled in the first half of the 20th century and doubled again during the next 35 years.
I hope our economics community has finally learned that lesson — at least until they forget it again during the next boom cycle.
Yet oil-sands production has doubled in the past decade and is predicted to double again during the next, and expensive new pipelines and other infrastructure solidify that prediction.
The £12bn departmental savings that the Conservatives promise in their manifesto mean that the arts budget – reduced by 36% since 2010 – would likely be cut by the same again during the next parliament.
The downloaded Web page is stored locally, so as to avoid fetching it again in during the next fetching cycle.
For that feeling alone — to say nothing of the chance to go to Brazil — she would do it all over again, even though, during the next ten days, with nothing but sex to stave off their corrosive exchanges over past and future frustrations, they came to despise each other.
Once a certain ion is selected twice for MS/MS in 30 sec, this ion is excluded from being selected again for MS/MS during the next period of 120 sec.
NBCUniversal has not said whether it will do that again during the Winter Olympics next February in Sochi, Russia.
G9P[8] strains dominated in the first 2 rotavirus seasons, decreased sharply during 2002 03, dominated again for the next 2 years, and decreased again during 2005 06.
