'fall under the rules' is a correct and usable phrase in written English.
It is used to describe when something is regulated or governed by certain rules. For example: Companies must make sure that their marketing practices fall under the rules that have been established by the Federal Trade Commission.
Because some ships do not fall under the rule until 2016, it could be 2021 before they comply.
But those who claim it could only have peace if it is divided into three states do not appreciate the makeup of Iraqi society – the three regions would quickly fall under the rule of violent sectarians and chauvinists.
In contrast, Amazon.com, which is based in Seattle, will become one of the first major issuers of employee stock options to fall under the rule, which can punish earnings or worsen losses when a company's share price rises.
At George Bush Intercontinental Airport in Houston, the tightened security did not appear to create any immediate problems for international passengers who fell under the rules.
Man fell under the rule of England in 1341.
Como made peace with Milan in 1183 and after 1335 fell under the rule of the Visconti family and the Sforzas of Milan.
Since the euro crisis broke out in 2010, large swaths of the continent have fallen under the rule of institutions that find it almost impossible to deal with democracy.
Exposed to some missionary activities linked with St. Methodius, the state of Wiślanie fell under the rule of Great Moravia which was destroyed by the Magyar invasion of the early 10th century—and came eventually under the rule of Mieszko I, the first ruler of the Polanie to be mentioned in written records.
When Czechoslovakia split a decade ago, Slovakia fell under the rule of a former Communist, Vladimir Meciar, who harbored authoritarian ambitions.
