The phrase "abide by its terms" is correct and usable in written English.
It is typically used in legal or formal contexts to indicate compliance with the conditions or stipulations of an agreement or contract.
Example: "All parties involved must abide by its terms to ensure a smooth collaboration."
Alternatives: "comply with its conditions" or "adhere to its stipulations".
The court said the settlement was unfair to future claimants, who would be forced to abide by its terms even though they had not agreed to it.
"We took issue with the unwillingness by city officials to abide by its terms".
When Reagan arrived in office he informally agreed to abide by its terms.
The proposed agreement unsettled those who believed the Russians could not be trusted to abide by its terms.
In his U.N. speech, Abbas, one of Oslo's architects, declared that he would no longer abide by its terms unless Israel stopped running roughshod over them.
Nkosazana Dlamini-Zuma, head of the African Union, welcomed the deal and called on all sides to "scrupulously abide by its terms and faithfully implement its provisions".
Facebook said "On average, less than 1% of Likes on any given Page will be removed" if they've abided by its terms and haven't shadily been buying Likes from hackers.
This victory, and the ensuing Treaty of Greenville, secured the territory, and although Shelby did not agree with some of the restrictions placed upon western settlers by this treaty, he abided by its terms and enforced those that were under his jurisdiction.
Abbas's power derives from the fact that those who may otherwise criticize or reject a deal will abide by his terms.
Stanford and ABL then reached a settlement about that dispute, but Shafer was not party to it and refused to abide by some of its terms, publicly criticizing what he sees as the overly broad scope of the ABL patents.
Lior Aldad, a Manhattan co-op and condominium lawyer, explained the legal ramifications: when the letter writer bought her apartment and signed the proprietary lease, she agreed to abide by all of its terms and conditions.
