Run the legacy application inside a container (like Docker) to limit the potential "blast radius" of an exploit. Conclusion
When Oracle stopped public updates for Java 7, it didn't mean bugs stopped being found. It simply meant that the patches for those bugs were no longer available to the general public. Security fixes are now locked behind a paid Oracle Long-Term Support (LTS) agreement.
While Log4j is a library, many applications stuck on Java 7u80 use older, vulnerable versions of Log4j because they cannot upgrade to the newer, patched versions of the library which require Java 8 or higher. How to Secure Your Environment
Ensure the machine running Java 7u80 has no direct access to the internet.
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