Without knowing what kind of plants it's hard to tell. This time of year really isn't the best fro rooting plants either.

Hi, there are three different plants here. One of them is ivy. All I know of the other two is that they are vining plants. The one in the back is doing fairly well which is why I set down a stick for it to climb up (with any luck (or else this plant tends to droop)). All of them have new growth but of course no roots.

Thanks!

Are these all actually house plants? The variegated one looks like Vinca minor and the one behind looks like Trachelospermum jasminoides. Stems in water often 'grow' in the same way as a bunch of cut flowers 'grows' in a vase i.e. stems lengthen and buds open. But without roots there is no guarantee they will survive. I would recommend taking cutting of shorter pieces and putting them into a suitable well drained mix to root, not water.

Two weeks is a very short time for anything to root whether in water or a medium. And as Mentha said, it is not a good time of year for striking cuttings.

Everything happens more slowly in the winter. As long as it is still green and fresh looking, I'd just leave it alone and see if it eventually roots. It can sometimes take months for roots to appear on a cutting if the conditions are not completely optimal.