Salafist groups, police and state security combine to provide a strong infrastructure. The girls are held in houses procured especially for the purpose, the police refuse to pay attention to the girls families. And the Salafi groups have set up a group to deliberately counter and smear the efforts of the Coptic community to get the girls back. The Orwellian titled 'Alliance for the Support of New Muslim Females' has staged against the Coptic church, accusing it of kidnapping girls who have converted to Islam.
This new tactic explains why by far the highest proportion of 'converts' to Islam are from young and underage Coptic women. It can't even be (fully) blamed on normal Islamic practice, since it is deemed alright for the husband, the head of the house, to be a Muslim while his wife isn't. It is only deemed detestable if the 'subservient' wife is a Muslim and the husband is not. Thus these events cannot be about some kind of Romeo-Juliet romances across the religious divide. The goal is not the marriage of in love couples but the open promotion of sexual coercion and blackmail to induce conversion to Islam.
Elements of the security forces, courts, police, University officials and Muslim clergy are openly promoting and facilitating this policy. The supposedly 'pious' Muslims are engaging in mass rape and paedophilia and teaching their followers to do the same.
Even before the Revolution such practices were widespread, with tactics used including telling Christian women that their fathers were seriously ill in hospital and asking for them, and then snatching them off the street as they rushed to the hospital, or straight grabbing them from the street and aneasthatising them, marrying them in this condition, gang raping them for weeks, and then divorcing them. Fathers who protest have been accused of 'promoting sectarian strife' by the police and had their homes stolen from them.
Even where such girls are taken into state care homes (in one recent case it seems the girls claimed that they had freely converted to Islam because they feared retribution from their own families) there is intense intimidation, often with no Christian presence in such institutions, and the machinations of Sharia associations and threatening by Hijab encloaked social workers.