So if you've had a particularly hot or dry summer compared to your usual years that could totally be it. are you watering less frequently this year or is your area just experiencing a drought? also where are you located? sometimes certain pests have population explosions in particular years depending on weather patterns and what ate the mites the previous year.
neem oil works but you gotta be consistent with it and honestly it's not always the fastest solution for established infestations. since you're already seeing webbing that means they're pretty established. i'd suggest spraying every 3-4 days for at least 2-3 weeks, making sure you get the undersides of leaves really well. spray in the evening when it's cooler. some people have better luck with miticide sprays like forbid or avid if neem isn't cutting it, though those are stronger chemicals. you could also just blast them off with water from the hose every few days which sounds tedious but actually works.
don't pull them out unless they're totally beyond saving. dahlias bounce back pretty well once you get the mite population under control. just make sure you're not planting them somewhere too hot and exposed next year, and maybe increase humidity around them a bit if you can. also check if you've got any other plants nearby with mites since they'll just reinfest your dahlias. have you noticed the mites on anything else in your garden?