The phrase "and provided that certain" is correct and usable in written English.
It is typically used to introduce a condition or stipulation that must be met for something to occur or be valid.
Example: "The contract will be valid and enforceable, and provided that certain conditions are met, both parties must fulfill their obligations."
Alternatives: "on the condition that" or "if certain criteria are satisfied".
The treaty also provided that certain boundary disputes between Canada and the United States be referred to arbitration commissions, and both the U.S. and British governments agreed to use their best efforts to abolish the international slave trade.
The Statute of Frauds protects people from injury by providing that certain types of agreements must be in writing in order to be enforceable contracts.
In January 1883 Congress passed and Arthur signed the Pendleton Civil Service Act, which established the Civil Service Commission and provided that appointments to certain categories of offices should be made on the basis of examinations and the appointees given an indefinite tenure in their positions.
The boundary and interface conditions lead to conservative schemes and strict and strong stability provided that certain metric conditions are met.
Nokia will retain the Nokia brand and all of its patents and patent applications worldwide, provided that certain registered design rights that are specific to the D&S Business will be included in the assets transferred to Microsoft.
It is observed that the special double yielding phenomenon is indeed present in PA6, provided that certain temperature and strain rate are given, as well as the appropriate initial structure.
Is it ethical?... Marvin Glass, Beechhurst, N.Y. A. Eliot H. Zuckerman, a Manhattan co-op lawyer, said that unless the governing documents of the letter writer's co-op contain a clear prohibition, it would not be inappropriate or illegal for the board to accept a bid and enter into an agreement with another board member or his company, provided that certain conditions are met.
This approach is based on the associate with probability distributions which is sufficient to confirm that one alternative is preferred to another (in the sense of maximizing expected utility) provided that certain constraints on the underlying utility function are satisfied (Durbach and Stewart, 2012).
In both cases, the Justice Department had already signed off on the mergers, provided that certain conditions were met.
Under the act, small business establishments can play audio music from radio, television, cable or satellite sources without having to pay any licensing fee, provided that certain guidelines are met.
