Wa `alaykum As-Salamu wa Rahmatullahi wa Barakatuh
If you think that this man is lying to you, then it is not a good sign. If you were my daughter, I would not advise you to pursue this matter any further. Truthfulness is one of the essential traits of a believer, and the opposite is the trait of a hypocrite.
The Prophet (peace be upon him) said, “Be truthful, for truthfulness leads to virtue and virtue leads the way to paradise; and shun lying for lying leads to sins and sins leads the way to hell-fire. And a person continues to lie until his name is registered as a liar in his register with Allah.”
Therefore, I would advise you to consider the issue carefully before rushing to marry such a person.
Almighty Allah knows best.
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