Design a sleek and modern logo for a social app that features an abstract representation of interconnected people. Use a vibrant color palette with gradients to convey a sense of community and connection. Incorporate smooth, rounded shapes that suggest friendliness and approachability, while ensuring the overall design feels dynamic and stylish. The logo should be versatile enough to work on various backgrounds and maintain its visual impact at different sizes.

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Design a sleek and modern logo for a social app that features an abstract representation of interconnected people. Use a vibrant color palette with gradients to convey a sense of community and connection. Incorporate smooth, rounded shapes that suggest friendliness and approachability, while ensuring the overall design feels dynamic and stylish. The logo should be versatile enough to work on various backgrounds and maintain its visual impact at different sizes.