Just one more:
Going back to the Earth analogy, imagine you were at the top of a mountain, standing on a flat rectangular carpet with a fancy design. You are high enough up that you can see the curvature of the Earth. The effect of inflationary expansion is to basically stretch out your rectangular carpet to the horizon, so it looks like the whole world is just flat-carpet land, and the carpet pattern is everywhere you look. The curvature of the Earth, all the landmarks in the distance are far far beyond what you can see.