Consider sending out a press release to announce your new site.This can be particularly effective if your site is newsworthy or are offering something "new" or perhaps have special
offers or services for web site visitors.
Newspapers regularly mention or feature new or topical websites in their techical or business sections - they cannot mention yours if they don't know about it.
Often local/regional newspapers
and specific trade magazines or journals will be more likely to mention your site!
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