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I am a Solicitor and will assist you.
I can confirm that your new partner's ex has no claim at in respect of your income or your assets.
That being said, anything that you own jointly will have to be disclosed as part of the disclosure process and the fact that your partner's housing needs as being met by living together with you will come into play when deciding the asset division in respect of the matrimonial assets of the marriage with her ex.
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