Instead of submitting your articles to article directories, you submit them to the top websites and blogs in your market.
So, for example, if you have a blog about sports, you could submit your articles to Bleacher Report | Entertaining sports news, photos and slideshows, as one of the most popular sports websites online.
If you have a website about weddings, you could submit articles to FavorIdeas
If you have a website about parenting, you could submit articles to
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If you have a website about finance, you could submit articles to
Are you starting to get the idea here? No matter what market you're in, there are very popular websites that you could be submitting articles to for massive traffic.