I've been losing more hair than usual for about a month now. Can a minoxidil 2% w/v solution help with this?

A month of noticeably more hairfall is definitely enough to feel worried, so it's good that you're looking into it. Minoxidil solution can help slow hairfall and encourage regrowth over time, but it usually takes three to six months of consistent, twice-daily use before you see a real difference - it's not a quick fix. Since recent hairfall can also be triggered by stress, an illness, diet changes or hormonal shifts, it would help to see a dermatologist so they can figure out what's driving it and confirm this is the right strength and routine for you.