Plants can absolutely tolerate some aphids. Getting rid of them entirely should never be the goal. Just keep an eye out so that populations don't quadruple overnight (which can happen with aphids). Now that you have them under control, you can probably manage them with sprays of plain water rather than dish soap, which can actually harm the plant if used too frequently or mixed too strongly.

you can wash most of them off with water then they mostly hang out underneath the leaves and lay eggs and multiply, i have been watching them and trying two different organic dust and a water mixture dah they were on one tomatoe plant now they are moving on...and on three plants instead of one...I cant keep watering the tops of the plants it washes off all my dust and organic water mixtrue..now what? just to let every one know the only thing that works for Japenese beetles organically is the bag.Now what about my tomatoe plants? I want to kill the aphids not wash them to the ground so they can climb back up two more plants :( Its really discouraging you know! Im trying to do it the organic way...need some help that actually works.