Whiteheads and hard pimples that do not burst are usually due to clogged pores and deeper skin inflammation, which can take time to clear. Keep your skin clean with a gentle face wash, avoid oily or heavy products, and do not try to squeeze them as this can worsen it. A doctor may advise suitable creams that help open pores and reduce swelling for better control. With regular care and the right treatment, these can be managed effectively over time.