7" Full Focus HD Digital Microscope, 12 Million Pixels, 50-1600X Magnification, Adjustable Shadowless LED, Wireless Remote Control Support PC Connection

SKU: GW45.0061

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No. You need to purchase it yourself, with a maximum support of 128GB memory cards. 
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Yes, it can indeed take photos and transfer them to your desktop in JPG format. 
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The video is synchronized in real-time, without any lag or delay. 
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Yes. When the magnification changes from large to small, the image will always remain clear.