Yes, actually eventually it will go away, but you need to reduce tissue edema and inflammation for that to occur.
For reducing tissue edema I restricted my salt intake and took natural diuretics, such as celery raw or cooked). For reducing inflammation I removed my known triggers for inflammation, inflammation-inducing foods, and foods containing lectins. I then added anti-inflammatory foods, spices, herbs, supplements, and anti-oxidants to my diet.
And both pericarditis and Pleuritis went away.