'with the necessity of' is a valid expression that can be used in written English.
In general, it is used to indicate that a certain action is necessary and must be done. For example, "The company responded quickly to the crisis, recognizing with the necessity of implementing new safety protocols."
He also copes well with the necessity of writing about Gary Glitter.
When confronted with the necessity of actually running a state, the response is a mix of bewilderment and incompetence.
"Today we are faced with the necessity of making up for the time lost," Mr. Monti said.
Worse, it has not really come to terms with the necessity of offering low-cost arbitration, having taken until July this year to introduce only a pilot scheme.
The New Yorker, November 10, 1928 P. 17 More reliable voting machines do away with the necessity of having detectives guard the ballot boxes.
"With the acceleration of deficits, the acceleration of unemployment, with the necessity of making important reforms, what is the debate of the day?
Experience had taught him that, when faced with the necessity of battle, McClellan "became nervous and oppressed with the responsibility and hesitated to meet the crisis".
Having finally come to grips with the necessity of raising the federal debt limit, Congress may feel it has earned the right to a weeklong Fourth of July holiday.
"Careers involving performance as an actor or dancer are often based on short-term or freelance contracts, with the necessity of having to move from place to place to secure work.
Governments, faced with the necessity of actually doing things, do not have this strategic choice, though that did not stop the Abbott government from attempting it during its first few months in office.
Now the method, in which a counselor prepares a small group to confront the individual with the necessity of treatment, is being applied to those with so-called Internet addiction.
