If you are processing a marriage adjustment, it should be OK. The interviewing officers take into account many things. If you are missing a joint lease, but have other accounts, taxes, etc., it should be fine.
Although it is unclear from your statement as to the "everything" that you have to show a bona fide joint life, going by the presumption that you have at least 3 individual proofs of a bona fide joint life to submit, the fact that you don't have both parties listed on the lease should not be a bar to having your green card petition granted.
If you have other proof that you have a good marriage and live together as husband and wife ( I assume this is what you are trying to prove), it may be ok.
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