I think the word "solution" is being used offhandedly here, to mean a mitigating response.
They claim that homelessness is dropping in Finland (contrary to other EU countries), but don't go so far as to say nobody is homeless.
Being homeless doesn't necessarily mean you are unable to afford accommodation; even if you have no private income, this may be covered by welfare benefits. In many cases psychological issues, drug addiction and criminal history are barriers to renting in the private market, which result in homelessness. Being "moved" out of this accomodation may not imply being made homeless again, in some cases the destination may be a more managed form of accommodation (e.g. rehab; prison).
They claim that homelessness is dropping in Finland (contrary to other EU countries), but don't go so far as to say nobody is homeless.
Being homeless doesn't necessarily mean you are unable to afford accommodation; even if you have no private income, this may be covered by welfare benefits. In many cases psychological issues, drug addiction and criminal history are barriers to renting in the private market, which result in homelessness. Being "moved" out of this accomodation may not imply being made homeless again, in some cases the destination may be a more managed form of accommodation (e.g. rehab; prison).