It's iptables logging, so it goes through kernel logging and syslog, which have various ways to deal with crazy loggers. By default, ufw uses a 'low' logging level, which
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logs all blocked packets not matching the default policy (with rate limiting), as well as packets matching logged rules
So it shouldn't generally be logging a whole heck of a lot by default (if the default policy is 'deny' and there's no specifically-logged rules). It can, of course, be configured to the administrator's wishes.
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