Rear differential side cleaning?

I was curious about cleaning and greasing this area. After I pulled my axle housing I noticed the axle and the side to the diff was a bit dirty. Nothing extreme, but it did have some sand grains mixed with grease. So my questions is, should I clean and grease that area as best as I can, or pull the differential apart and clean the whole thing? I’m just worried sand and mud has gotten inside the diff and on the splines. I did check the oil level and it’s fine/clean.

Outside of differential
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