Is it permissible to subscribe to the Trident service for shortening links and profiting from it, while adhering to the website's conditions that prohibit publishing links on sites that violate Sharia, artistic sites, hacking sites, and forums that contain arts or satellite codes, knowing that the displayed advertisements do not violate Sharia and click prices vary by country?

So long as the service prevents the publication of anything that contravenes Islamic law, there is no harm in subscribing to it and benefiting financially from attracting visitors to permissible links. Earning money for bringing a certain number of visitors is permissible. However, whether one is entitled to a portion of it if fewer visitors are brought is a matter of scholarly disagreement.