Everyone in your generation is a sibling or a cousin. Every extra generation back you have to go to have a same ancestor adds to the cousin count (1st cousin shares a grandparent, 2nd cousin shares a great grandparent).
Next the removed. This is someone who shares a direct descendant (grandparent or great, etc, excluding aunts and uncles) and each removed is how many generations different you are in that relation. If your grandparents is their great grandparents you are first cousins once removed. Twice removed would specifically be a grandparent/great great grandparent combo, unless you were talking about non first cousins.
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