Can a 501C corporation advertise in public places and newsprint to attract new members?
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And what I see is that area food banks, educational support organizations, mental-health providers, museums and others in the nonprofit arena advertise as they are able. They advertise for their annual fundraising galas, golf outings, benefits, etc.
While it might be a good idea to seek independent counsel from a lawyer about this, I'd imagine that any constraints would come from your own charter or board, rather than from outside sources.
Best of luck in sorting this out!