For system-wide persistence (especially useful if multiple users need it), placing the variable in a custom script under /etc/profile.d/ works well.
You can create a new file like:
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sudo nano /etc/profile.d/custom_ldpath.sh
And inside:
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export LD_LIBRARY_PATH="/usr/local/lib:$LD_LIBRARY_PATH"
Then save, exit, and reboot.
This ensures the variable is available to all login shells system-wide. Just keep in mind: if you override LD_LIBRARY_PATH, always append :$LD_LIBRARY_PATH so you don’t clobber existing paths accidentally.