"under such terms" is a correct and usable phrase in written English.
You can use it when a certain set of conditions need to be met before an agreement or statement can be accepted or agreed to. For example, "We cannot accept your offer unless you agree to our terms, which are outlined under such terms in the contract."
But only 7% of milk produced in the UK is sold under such terms.
Pro-Brexit cabinet sources said a long delay, particularly one under such terms, would "cause a tremendous amount of angst".
However, Channel 4 News felt that it could not conduct an interview under such terms, which included a 15-page contract full of limitations and restrictions.
The Board shall offer the voting common stock to banks, other financial institutions, insurance companies, and System institutions under such terms and conditions as the Board may adopt.
Each loan shall be extended in such form, under such terms and conditions, and pursuant to such regulations as the Association deems appropriate.
That Israel will never live in peace and security with the Palestinians or the wider Arab and Muslim world under such terms doesn't seem to matter.
The terms "network station", "non-network station", "satellite carrier", and "secondary transmission" have the meanings given such terms under section 119(d).
The terms 'employer' and 'State' shall have the respective meanings provided such terms under subsections (b) and (i) of section 11 of the Age Discrimination in Employment Act of 1967 (29 U.S.C. 630).
The Secretary, in consultation with the Secretary of the Treasury, is authorized to sell loans made under this part on such terms as the Secretary determines are in the best interest of the United States, except that any such sale shall not result in any cost to the Federal Government.
Under such long-term condition, the same species in different localities of globe slightly differs at their genome level.
Only small and superficial portions of human life can be honestly and thoroughly represented in such terms and under such limitations.
