The phrase "will be contained within" is correct and usable in written English.
You can use it when you want to express that something is included within a certain area, time, space, etc. For example, "The details of the event will be contained within this brochure."
These early drafts allow us to predict what will be contained within the report.
Year to date the UK weather losses have been benign and we expect will be contained within adverse weather budgets.
Rather than piping music into the galleries, it will be contained within "sound columns," listening areas dotted throughout the show.
Thus classrooms on the second floor of the crescent-shaped new building will be contained within the multi-dormered roof, and the walls will be stucco with cast stone trim.
Practically everything they need to prepare will be contained within their clubhouse, which, at 25,000 square feet, is 15,000 square feet larger than the one at Shea.
It appears ever more unlikely that the profound issues Howard's plan raises will be contained within his narrow authoritarian nostrums, and nor will it end with the federal election later this year.
The vast majority of protein-coding genes will be contained wholly within contigs using this strategy, although an important caveat is that large-scale changes in genome structure, particularly large rearrangements, will likely not be captured.
The proposal will be contained in an education white paper to be unveiled within weeks of the election.
You will be contained and controlled.
The verbal virus will be contained.
The tempest, however, will not be contained within the tiny Tea Party but will instead overrun the Republican Party itself, where Palin, with Murdoch and Beck at her back, waits in the wings to "take back America" not just from Obama but from the G.O.P. country club elites now mocking her.
