The phrase "intensify through" is correct and usable in written English.
You would typically use it to describe increasing the strength or intensity of something as it progresses or goes through something. For example, "The storm's wind intensity heightened as it intensified through the night."
The data would seem to indicate that the downturn has continued to intensify through the first quarter of 2009.
"What is clear," he said, "is that the intra-Shiite power struggle has only begun, will be violent to some degree, and is likely to intensify through the fall 2008 local-provincial elections, the 2009 national elections and beyond".
Officials warned that the cold would intensify through the day and into Sunday.
Similar to the JTWC, the JMA continued to indicate that Bolaven was intensifying through early on August 26.
The color can be intensified through judicious cutting.
It intensified through an entire presidential campaign and has persisted during the postelection transition.
Payne achieves a remarkable balance between comedy and grief, the emotional effect of both intensified through often existing on screen in the same moment.
Rūmī's mysticism was intensified through his acquaintance with the dervish Shams al-Dīn of Tabrīz, in whom he recognized a manifestation of transcendental beauty.
As the campaign intensifies through television advertising and get-out-the-vote efforts, the contest is hardly a Gingrich-Romney duel.
Bullets ricocheted here and there, and the sounds of gunfights erupted sporadically, intensifying through Monday morning, particularly around Colonel Qaddafi's compound.
Onstage, Chesney delivered increasingly energetic performances, intensified through sophisticated equipment and effects that in the 1990s were more characteristic of rock-music productions.
