Q.my crepe myrtle produces buds but they do not bloom why?
plenty of buds they dont flower

I suspect water deficit and/or nutrient deficiency.
Soil fertility and water management are vital for plant health and flowering.
Water a wide area not just near the tree trunk, cover the absorbing root zone which spreads as far as the foliar canopy and more. Water deeply to wet the soil a minimum of six inches, preferably to 10 - 12 inches. Check this two to four hours after watering by digging down in a couple of spots to see how far the water infiltrated. Mulch the soil surface to help retain soil moisture.
Fertilize with a slow release complete organic fertilizer.
https://www.domyown.com/dr-earth-organic-all-purpose-fertilizer-p-9485.html