You exhale about 1kg of CO2 per day, 27% of it is carbon. Have you ever noticed your plants gaining 300g of matter per day? You need enormous quantities of chloroplast life in your house to help you - and to constantly shovel excess out, impractical.

I have heard about some people keeping an aquarium (with growth lights) full of algae and they swear by it, but maintenance is high.

Yes, you can sequester your exhaust as limestone. Or as soda.

There are no other ways that are affordable enough to be feasible, and don't cause giant energy consumption/pollute the air with smelly chemicals.

Unless you live in a commercial-scale greenhouse, literally in the same room as the plants, you can forget about photosynthesis.

Yes, about 50 square meters of leaf surface per human to offset their CO2 output. https://space.stackexchange.com/questions/26668/how-many-pla...

I know right all this talk about fancy tech and filters how about a sun lamp and a fern lol