A more thorough explanation:

AD MAJOREM CAUTELAM

ad majorem cautelam (ad mə-yor-əm kaw-tee-ləm), adv. [Law Latin] For greater security.

Ad majorem cautelam is a Latin phrase used in law to mean "for greater security." It is often used to describe actions taken to ensure that something is done with extra care and attention to detail, in order to avoid any potential problems or mistakes.

• Before signing the contract, the lawyer advised his client to review it ad majorem cautelam to make sure there were no hidden clauses.
• The company implemented new security measures ad majorem cautelam after a recent data breach.

In the first example, the lawyer is advising his client to review the contract with extra care and attention to detail, in order to avoid any potential problems or mistakes. This is done ad majorem cautelam to ensure that the client fully understands the terms of the contract before signing it.

In the second example, the company is implementing new security measures with extra care and attention to detail, in order to avoid any potential problems or mistakes. This is done ad majorem cautelam to ensure that the company's data is protected from future breaches.