Thank you for your enquiry.
You will find the procedures here https://www.gov.uk/marriages-civil-partnerships/foreign-national
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Sorry for the delay in getting back to you.
If your partner has been granted a spousal visa on the basis of your marriage, the Home Office will usually grant 2.5 years spousal visa and at the end of this initial visa, your partner will be required to extend her visa for another 2.5 years. Once your partner has been in the UK for 5 years or more and she meets the requirement, she can apply for indefinite leave to remain.
I hope this answers your question.
That would not matter because time spent in the UK as an Asylum seeker is not usable in the spousal category.