Fertility services provider Jinxin Fertility Group has launched its up to HK$3.05bn (US$389m) IPO in Hong Kong. It is selling 357 million primary shares, or 15% of the enlarged share capital, at an indicative range of HK$7.76 to HK$8.54 per share. Four cornerstone investors have come in for US$150m: Hillhouse Capital, Ally Bridge, OrbiMed and…