The phrase "generally admitted" is correct and can be used in written English.
It is typically used to indicate that something is widely accepted or acknowledged by most people. Example: It is generally admitted that exercise is important for maintaining good physical health.
It is generally admitted that oxidative species are generated either from, but not restricted to, neuroinflammation, mitochondria respiratory chain impairment [ 64, 65] or from a direct effect of the amyloid peptide [ 66].
Interest on loans is today generally admitted.
The influence of Roman-law ideas, however, was probably greater than generally admitted.
Students who accumulate 100 points are generally admitted, so those 20 points it awarded solely based on race are often the decisive factor.
B12 The Aftermath in New York OPEN-EYED AMERICA -- After Osama bin Laden said Americans were living in fear, most disagreed: for now, they generally admitted only to a heightened awareness.
Mr Gates is 42 years old, has a baby face and large wire-framed glasses (don't let them fool you), and, it is generally admitted, is a genius of an innovator with computers to whom millions owe their livelihood.
The judiciary has been widely criticised not least by the European Commission—as corrupt, ineffective and politically packed.Judicial reform is generally admitted to be necessary in particular, removal of judges' and prosecutors' immunity.
Thus the Koch lay claim to the high Hindu status of Kshatriya; their claim is not generally admitted, however, and many of the subdivisions of the Koch rank very low in the caste hierarchy.
Even if describing and appraising are not utterly distinct and involve one another, it is generally admitted that the question of validity cannot be settled on the basis of historical or descriptive accounts alone.
But for the most part, it is a reasonless detachment of spectacle from life; in that sense, it is probably closer to Bollywood than is generally admitted, but the sheer in-your-face two-dimensional portrayal of people without character, without antecedents, without origins is offensive.
Writing in the Argosy in 1903, James Rodway, an outstanding chronicler of Georgetown's history, had directed these snippy words at the cathedral: "It is generally admitted that this is ugly, and it is certainly not water-proof, although we believe the foundations are good".
