WASHINGTON — Hillary Rodham Clinton and her aides at the State Department were acutely aware of the need to protect sensitive information when discussing international affairs over e-mail and other forms of unsecure electronic communication, according to the latest batch of messages released by the agency from Clinton’s tenure as secretary of state.

The State Department made public roughly 7,121 pages of Clinton’s e-mails late Monday night, including 125 e-mails that were censored before their release because they contain information now deemed classified. The vast majority concerned mundane matters of daily life at any workplace: phone messages, relays of schedules and forwards of news articles.

But in a few of the e-mails, Clinton and her aides noted the constraints of discussing sensitive subjects when working outside of the government’s secure messaging systems — and the need to protect such information.

Senior adviser Alec Ross, in a February 2010 e-mail intended for Clinton, cited frustration with “the boundaries of unclassified e-mail” in a message about an unspecified country, which Ross referred to as “the country we discussed.” The e-mail appears to focus on civil unrest in Iran during the period preceding the Green Movement, when Iranian protesters used social media and the Internet to unsuccessfully challenge the re-election of then-President Mahmoud Ahmadinejad.