A question for the mods about promoting a petition on whitehouse.gov, page 1

Nope.

Terms and Conditions

15e.) Recruitment/Solicitation:

i) You will not use your membership in the Websites for any type of recruitment to any causes whatsoever. You will not Post, use the chat feature, use videos, or use the private message system to disseminate advertisements, chain letters, petitions, pyramid schemes, or any kind of solicitation for political action, social action, letter campaigns, or related online and/or offline coordinated actions of any kind.

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