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They are accusing her of a crime. She has an absolute right not to make any statements at all about this matter and she has an absolute right to not take the LDT. They cannot hold her in the US against her will, that is considered kidnapping
and she can file a complaint with the police as well. If they think they have evidence against her, then they need to present that evidence to the police, since they need to prove beyond a reasonable doubt she took the missing jewelry and it is highly unlikely they can or they would have had her arrested already.
You need to immediately get your friend a criminal defense attorney
to represent her and to not only put an end to the madness these people are putting her through, but to get her away from these people and back home where she wants to go. They cannot do anything to her in India and if they try to sue her without proof she took anything, she can countersue them for harassment
and even defamation
for accusing her of a criminal act when there was no actual evidence.
She needs to refuse to take any test until she gets an attorney and then let the attorney deal with it to protect her rights and end their threats and coercion
making her stay in the US against her will which is illegal.
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