I really wish companies would keep the two terms separate...but they seem to freely interchange them at times.
Here's what I would say is important...but do your own research, because I could be a crazy person:
The filtering part is what catches things like cysts, bacteria, parasites, and protozoa. Manufacturers usually give you a micron rating for the filter's pores, and anything bigger than that is not getting in. Having the ability to "filter" your water to remove these afformentioned polutants, is a huge step toward not getting ill.
However, there are also Viruses, and chemicals that are NOT stopped by the small pores of the filter.
That's when things get fuzzy for me. Some of the filters have active carbon in their cores, which also reduces the chemicals in your water...but they are still not officially called "purifiers". Some filter manufacturers sell post-filters you attach downstream of your existing filters, again, for the purpose of removing chemicals. I guess you're officially entering "purifying" territory when you know you're getting the Lead, Flouride, MTBE, etc out of your water. That's BEYOND filtering in my opinion.
BUT (and it's a big one), I've not seen any filters, or post-filters, claiming that they stop/kill viruses. Silver in the Filters will stop bacteria from growing into your filter, but does not kill all viruses passing through.
Viruses are not all that common out in the woods, depending on your area....but in the event humanity begins to add its own waste to the locale (aka garbage or sewer down), they (viruses) could quickly be found in the water supply. That's a big deal...when you think of H1N1, Hepatitis, HIV, etc.
Viruses are killed by chlorine, and even iodine.
I've read recommendations that say if you can't boil your water, pre-filter it with coffee filters into a "raw water" container just for that purpose, add the chlorine, and let it stew until it kills the bugs. THEN run it through your filter, to catch any chlorine-resistant spores or cysts. If you have active carbon in your filter, you might very well remove your own pre-treat chlorine from your final water, which is good because long-term chugging of chlorine can't be all that good for you.
Much of this is not really field-expedient, unless you like to backpack with a bucket and a Big Berkey. So, in that case, perhaps consider adding some of Katadyn's Micropur tablets to your gear, if you feel viruses are a possible threat.