I have long been a proponent of tossing plants that are near death or look awful. However, my recent experiences are making me rethink this approach. After declaring my Meyer lemon tree a dead duck, it rebounded exhuberantly. Now my fig tree which has been looking near death for months, has three of the most beautiful new leaves and has even put out two figs on an otherwise completely bald plant.
I'm still struggling with a spider mite infestation which no amount of insecticidal soap will seem to quell. Sometimes I just want to toss all of the stricken plants, but I truly love several of them and they are worth fighting for.
While I am still in favor of tossing any plant that makes you unhappy, either because it looks awful or you just don't like it, I'm thinking that it's worth a lot of effort to resurrect a plant that you thought was beyond hope.