Yes you can and the more determined and passionate about wiping them out, the more success you will have.
Rosemary oil, is the answer.
Search rosemary oil and spider mites.
I use one ounce of Rosemary to a gallon of water. Also add a little squirt of dishwashing liquid and spray away. I first started with a trigger spray bottle. It took too long and was not giving me 100% coverage. So I bought a powered Wagner paint sprayer. The Wagner sprayer give 100% coverage.
The Rosemary oil will kill all the mites and their eggs. Spray every 2 days for 5 total sprayings. And they will be gone.
Spray just before lights out, or in the veg room, turn the lights off for 4 hours. Leave a light on in the room so they don’t think they are going into a dark period if you veg under 24 hours of light.
Once you wipe out the mite infestation, cut back to 2 sprayings per week then down to one spraying a week.
In conjunction with Rosemary spraying once a week, introduce prediator mites, and never look over your shoulder ever again for mites
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Happy growing