Design a sleek and modern logo for a weather app that features a stylized sun and cloud intertwined, with smooth gradients representing different weather conditions like sunny, rainy, and partly cloudy. The color palette should include soothing blues, bright yellows, and soft whites, creating a fresh and inviting look. Incorporate subtle motion elements within the cloud to suggest dynamic weather changes, while maintaining a minimalist aesthetic that conveys clarity and ease of use.

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Design a sleek and modern logo for a weather app that features a stylized sun and cloud intertwined, with smooth gradients representing different weather conditions like sunny, rainy, and partly cloudy. The color palette should include soothing blues, bright yellows, and soft whites, creating a fresh and inviting look. Incorporate subtle motion elements within the cloud to suggest dynamic weather changes, while maintaining a minimalist aesthetic that conveys clarity and ease of use.