You earn levels by being helpful in the forums, they have a certain post limit till you hit the next level but if a Support representative sees you being helpful they can also manually raise your level. As far as the "reputation" I think you mean the different
badges, those are only earned if a Support representative on the Support forums give you one (one of the Mister's or Miss's). You can view the different badges you can earn
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If you are asking how to increase your forum level it is done by posting quality threads and responses in the forums. Posts that are on topic and abide by the forum guidelines are the best way to level up.