If a New York limited liability company (LLC) fails to publish its legal notice within the prescribed 120 days, that LLC loses the right to maintain any action in New York courts. In other words, if you ever need to take legal action against anyone, your action can be dismissed for failure to meet the publication requirement. If any individual or business entity takes action against your organization, that individual or entity can personally name the members of the LLC. In effect, you defeat the key limited liability feature of an LLC by failing to publish.