Australia has more than 1500 species of spider, most of them completely harmless and some of them much loved by most Aussies. Our absolute favourite is the Huntsman, pictured below. Completely harmless to humans even if you do aggravate one enough to bite you. And you'd have to try hard to make them do that, they're quite passive with people.
Huntsmans do make web, or silk, but not as a tool for catching prey. The reason for their name, they actively hunt, chasing things down and catching them, and in the warmer weather they're incredibly active. I had one run up me one day and launch itself from my shoulder to grab a wasp that was hovering above me. I've seen video and pictures of them catching all sorts of things including frogs and lizards and even mice.
I always put them back outside if they come in to my home, not because I don't want them around but because they can get trapped in houses and there's not enough for them to eat inside. One of the ways they use web is as a trail marker. When they come in to your house they'll leave one single strand of web trailing behind them so that they can find their way back out fast if they have to. If that strand gets broken then they have to start searching for the exit.
The only other way they use web is the female will make a pouch to keep her eggs in, something she can pick up and move if her chosen hiding place comes under threat.
These are by no means our biggest spiders either, but they're certainly up there.
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