Are my uggs real or fake?

I went to a town shoes outlet today to find some uggs for christmas. I was looking in the clearance and found the clic short chestnut uggs which were exactly what I was looking for. So I flipped it over to check the price and it said $50! Then it said take an additional 30% off!!! I was shocked even though they were 2 sizes too big I bought them in disbelief. The boots have all of the signs of being authentic ugg boots, but is the price too good to be true? They didn't come with a box since they were on clearance. But my only problem is with the sole of the boots, it has ugg written several times in the middle with zig zag lines on the top and bottoms. Thank-you!