Mold is horrible. Any time we have mold growing in the apartment, I have more lung inflammation, sinus problems and sleep issues.
When I had a mold and mildew problem, I read that bleach was insufficient because the molecules are too large and won't get into porous materials. So you kill the stuff on the surface but the "roots" (so to speak) live and grow back.
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I bought something specifically for killing mold, but it was pretty toxic. I doubt I would do that again. These days, I typically use peroxide and scrub it off the surface. I had a problem with mold growing on the door frame of my sliding glass door to the patio. The metal part of the frame was covered in paint and no matter how much I cleaned, it kept growing back. I took a metal scrubber and scoured some of the paint off the metal frame. Since then, I clean that door a lot less than I used to and I have a lot fewer respiratory problems.
Ideally, any porous materials that have mold in them should be removed/replaced. It is very stubborn stuff and hard to completely wipe out. A fan to air out the bathroom can help discourage it from coming back. Or at least open the window after showering if you have no fan. I have recently had good results with using salt and black tea for killing mold. If my clothes smell like mold, I soak them in water with tea bags and that helps. The salt has worked well for hard surfaces, like the kitchen sink.