My husband just received a Notice to Appear (NTA) and is being deported. I heard that he can get voluntary departure and come right back in. Is that true?
It is possible. However, if your husband is removed, he will be barred from entering the US for ten years unless he can obtain a waiver. If he is qualified to obtain voluntary departure there will be no bar for being removed. However, he may still be subject to other grounds of inadmissibility. For example, he may be subject to the 3/10 year bar if he accrued more than 180/365 days of unlawful presence. He may also be inadmissible due to previous criminal violations or for fraud/misrepresentation if he fraudulently entered the country.
Voluntary departure will not cure any grounds of inadmissibility other than the 10 year removal bar. It is very important that he be well represented in immigration court if you want him to be able to return or remain in the US.