Prevalence of sexual reproduction is still enigma. The main character of sex is alleles mixing that could be advantageous either in unstable environment (in this case sex provides high temp of evolution) or in unstable genotype (in this case sex provides purge of genome from deleterious mutations). As long as not all species inhabit highly changeable environments, variation of genotypes is more important factor. As the majority of new mutations is deleterious, effective mechanism of genome purging is needed. Maintenance of "purging mechanism" may be a single role of sex. Two promising mutational hypotheses--clade selection (Muller's ratchet and Nunney's hypothesis) and mutational deterministic hypothesis of Kondrashov claim that more effective elimination of slightly-deleterious mutations provides main advantage to sexual population in comparison with asexual. Despite prima facie similarity, these hypotheses differ in mechanisms, work at different temporal scales and have different consequences. Kondrashov's hypothesis reveals short-term advantage of sexual reproduction, and thus, based on the individual selection. Clade selection displays long-term advantage of sexual reproduction that could be realized only by group selection. The role of mobile elements in evolution of sexual reproduction is also discussed. Firstly, mobile elements ("sexual molecular parasites") can complicate the problem: having been domesticated in asexual genomes and remaining active in sexual genomes they lead to higher mutational rate in sexual organisms and so violate assumption critical for both mutational hypotheses of "other things being equal". Secondly, mobile elements could be leader factor of origin of sex (hypothesis proposed by Hickey). Because theory of group selection could explain maintenance of sex, but not its origin, mobile elements could induce the origin of sex but were not able to maintain it, so the next scenario of evolution of sex is proposed: mobile elements induced origin of sex, which was established later by group selection because provided long term benefit (Muller's ratchet and Nunney's hypothesis). So, on all stages of evolution, sex was not advantageous for the organism per se.