Quote:
| would a phosphorous deficiency cause purple veins? |
Yes, sometimes purple is most noticeable along veins. Leaves can be purple too.
Purple veins is usually a sign of stress- can be caused by a few things- environmental (e.g. too cold temps) nutrient deficency (i.e. P), insects (e.g. sap suckers like psyllids, thrips, aphids) and disease (e.g.. CTV, TSWV, CMV) usually the former (insect) causes the latter (disease) but purple veined leaves in and of themselves are not always disease; sometimes it is something that can be resolved. Usually you'll see other signs - yellowing, spots, etc and that will help give the ID, but if you don't know for sure it is worth consulting an expert (especially before destroying plants); try your county extension or a local university for a master gardner or other expert if you re concerned.
I recently had one of my tomatoes (only one in container) develop purple veined curled leaves. Initially thought CTV (becasue that's the first thing that pops up if you google tomatoes with purple veins

)but we recently had very hot weather followed by more than a week of very cool, overcast weather. Could be environmental. Then, because it's in a container, though it could be nutrient. I went over the leaves and discovered some aphids :? Just couldn't figure it out so finially took in some samples and the consensus was sap sucking pests! Said locally they've been seeing a lot of thrips :? I did a better inspection and think I saw psylliids. Not much yellowing of leaves and they are hard to see if you aren't looking for them but yup sure enough, there

:. Glad to find out so now I can take precautions with the other plants- can't control for leafhopper (which transmits CTV) but you can control for sap suckers like aphids, psyllids, thrips, etc which do transmit other diseases. The gardner actually recommended pyrethrin (and usually pro organic/no synthetics) I wasn't comfortable with that so I'm trying soap and hoping that works. I do suspect that plant has a disease now (sap insects are vectors for disease) and not sure if it's recoverable because it does look pathetic

, but it is fruiting now and the fruit looks OK so I'm going to wait and see how they turn out before destroying hte plant; at least it's in container so I can isolate.
Anyway, OP- glad your plants seem to be better- it could be someting as simple as putting them in too early so they were stressed. If you re concerned, though it's worth a consult with someone IRL that can look/feel/see and give you advice to your specific sitution. The internet is great, but still can't replace a local expert

Good luck!!