Removes carbon from air: photosynthesis by plants and algae
Release of carbon into atmosphere: respiration (animals exhale CO2), factory emissions, eruption of volcanoes, hydrothermal vents, and breakdown of organic matter
Release of carbon into the soil: Shells of marine organisms form limestone, and some carbon from decomposing organisms is stored in the soil
*This isn’t every possible pathway but hopefully this will help get you started. I’m going to attach a picture of the carbon cycle (not mine) to help you visualize the process.