There is no threshold level of the amount of money you should have in your account in order to be eligible to apply for a spouse's visa, rather you have to show that you can support and house each other without the need to access public funds.
You should approach the issue of the overdrafts specifically in your application by making statements about them and stating that the level of income you can expect to have coming in after being granted the application will be sufficient to manage the overdrafts whilst also giving you enough money to pay for your rent and day to day living expenses. Give evidence of the overdrafts, your income (eg. Payslips and statements from employers confirming salaries and that you are permanent employees) and estimates of your expenses by statements from you both.
It's conceivable that your application may be rejected on this ground initially, but you will have leave to appeal and a more thorough and even-handed examination of your position will be given at appeal and I would hope if you can prove the above you will be successful.
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I think these reasons will be persuasive, yes, but you may have to go to appeal.
If you can wait for a couple of months until the accounts are in positive balance without overstaying then do so. If you are purchasing a property for you to live in then you will also need to show this in your application as well as include the mortgage repayments as part of your day to day expense (and your ability to meet them without the need to access public funds.
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