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LOL SWAG engineering?
A LiPo 'transistor battery' has about 1000 mAh capacity. There are 720 hours in a month. ~1.4 mA load could draw for a month without regarding discharge characteristics.
Standard miniature LEDs draw 20 mA (ranging from approximately 40 mW to 90 mW). I'll bet the illustrated LED's are high power CREE's drawing hundreds of mA.
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