The phrase "are hereby authorized" is correct and usable in written English.
It is typically used in formal or legal contexts to indicate that someone has been granted permission or authority to do something.
Example: "The committee members are hereby authorized to make decisions on behalf of the organization."
Alternatives: "are officially permitted" or "are granted authority".
You and any officer acting under your authority are hereby authorized to suspend the writ of habeas corpus in any place between that place and the city of Washington".
Subsection (d) is substituted for "which are hereby authorized to be established" because of the restatement.
You are hereby authorized and directed to report this determination to the Congress and publish it in the Federal Register.
Members of the press holding valid identification issued by the New York City Police Department are hereby authorized to use necessary ancillary equipment".
There are hereby authorized to be appropriated, without fiscal year limitation, to such revolving fund such amounts as may be necessary for the purposes of this section.
Except as otherwise provided in subsections (b), (d), and (e), there are hereby authorized to be appropriated such sums as are necessary to carry out this section.
The Council, for such purpose, is hereby authorized to pledge the full faith and credit of the United States.
If any maximum compensation or allowance authorized by these regulations or by the terms of any grant is exceeded by this method of computation and payment, such excess payment is hereby authorized.
(f) The Assistant Attorney General is hereby authorized to adjust the fees established by this section from time to time to reflect and recover the costs of the administration of the Registration Unit under the Act.
(3) The Director of the Bureau of the Budget is hereby authorized to prescribe, subject to the approval of the President, such rules and regulations as will indicate the information desired and the form of chart to be furnished.
The United States Governor is hereby authorized to agree on behalf of the United States to pay to the Association $3,180,000,000 to the ninth replenishment of the resources of the Association, subject to obtaining the necessary appropriations.
