Is it ok to say: "while a fact states that . ."?
Not really: facts don't state things, people do... "It is a fact that..." " It is stated that..."
And how can I say "I become more convinced of " in different ways?
"I become more certain that/ more certain of the fact that..."
"I have become increasingly persuaded that..."
"It is my growing belief that..."
can't think of anything else... someone will...