"certainly establish" is correct and usable in written English.
It is typically used to indicate certainty or confidence in an action. For example, "We must certainly establish a plan of action before making any decisions."
Ditching the austerity approach is a risky but bold step that would certainly establish a major Miliband milestone on a journey in which he has already achieved creditable advances.
The Obama Administration's strategy in the Marri case will almost certainly establish legal principles that will have ramifications for future cases, as well as for the two hundred and forty or so similarly designated "unlawful enemy combatants" held in the military prison at Guantánamo Bay, Cuba.
These claims, if true, would certainly establish a pre-eminent, if not unique, significance for the political role, so they need close examination.
We should have, and could certainly establish, a national standard for denying insurers the right to deny coverage of care.
While we see no reason for such a phenomenon a priori, if present, it would certainly establish a threshold target.
A recent study by Anisimov and colleagues published in a previous issue of Aging (Albany NY) may certainly establish that metformin should be defined as geroprotective or gerosuppressant rather than bona fide CRM.
"It certainly establishes that Cameron cares about the environment".
Word of the year was it now that she had established it.She had certainly established.
He certainly establishes that "the word"... No, that's not going to work.
Certainly, establishing a link between development and disease would prove politically awkward.
The nuclear power industry has certainly established a record – for terrifying accidents.
