A friend of mine was a practice manager in a Dr's surgery, she told me that they disappear until the staff have read them all, which is why there are always a good selection of hunting and fishing and car mags available but nothing much else!
I walked into a surgery once and plonked down a pile of my magazines, and was spotted by a receptionist. She said that in future they must all go through reception, to make sure that the contents were suitable. I showed her the pile of Thomas the Tank Engine and Dandy... She didn't want them after that.
I am now a Guerilla Magazine Placer. The beneficiaries of my generosity are subjected to Woman and Home, DBH's BBC Good Food mags, MiL's Woman's Realm which she passes on but go straight past me without stopping, National Trust and RHS mags and occasionally Good Housekeeping. My sisters try to make me read health-style magazines but like the women's mags beloved by MiL, they pass me by and head straight for the surgery.
Now that DBH is going there regularly, I am a little scared that some will make their way home again.