Re-watched the end of the episode and they paid $30K in closing costs. My guess is since it was a cash buyer, they sold it to an investor. Investors are often experienced buyers and they might not hire a realtor. No realtor means you are actually offering sellers a larger profit, making your offer more attractive. Assuming a 3 to 4% in fees and taxes, that would explain the closing costs.
Only someone who lives on takeout or who's in desperate need of a house wouldn't mind such a dark kitchen. You'd think that them doing this for so long would've taught them to imagine what eliminating a