How to ask for rent to not increase?

How to ask for rent to not increase?

So, our lease is about to be up. We've been here 3 years, plan to renew the lease, but would like to ask that our rent not increase, or at least not increase as much. Our building is owned by a company, but they've got a very nice and personable management team. What strategies have folks successfully used to ask for rent to NOT go up at a lease renewal? Pointing out comparable apartments that are cheaper? Our building has a pretty quick turnover rate, apartments never stay empty for long, so I can't really use that as a point in our favor.
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Veggies!

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Wet garden

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weird weather

First tomato of the season!

First tomato of the season!

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You all were right.

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Orchids