When it rains, water drips through the soffit and along the inside face of the fascia. This picture shows the water dripping through, but when it rains harder sometimes there's more:
My landlord just installed that aluminum soffit. Above it is solid plywood. This is at the valley of an L-shaped gabled roof.
Is this a problem? It's not a ton of water and I haven't noticed any leaks inside the house, but it seems to me like there shouldn't be any water in there. The gutters have been recently cleaned and there's no debris in them.
EDIT: added a few more photos
Here are two shots of the valley in question from above, plus another shot of a different gutter to show the construction and condition of the roof.
The shingles are approximately 4 years old, on top of an older layer (maybe more? hard to tell). There doesn't seem to be a drip edge. The shingles extend over the fascia and into the gutter by about 1".