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Yeah so when the desire is gone then should the suffering be gone too. Lol.

Desires are unlikely to go anywhere ... although they will evolve ... it is the attachment to desire that causes suffering. When desires are not attached to they are just ideas and do not cause suffering. Desires are also not just about physical desires ... they mean anything you want different from what actually is. So one can lose the desire to say be with someone but thoughts of that person can still bring suffering, if one is not accepting of what has transpired or the present situation. Ultimately it is the thought attached to desires that cause the suffering.