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Last Tested: May 12, 2020
Yes! You can use the _filters notation, documented here. You'll need to use one filter parameter for each filter you want to bring over.
It works like this:
dimension: name {link: {label: "Business Pulse By State Dashboard"url: "https://learn.looker.com/dashboards/694?State={{ _filters['users.state'] | url_encode }}&Age={{ _filters['users.age'] | url_encode }}"}}
Notice that State and Age are the names of the dashboard-level filters on the new dashboard, whereas users.state and users.age are actual fields that were being filtered on in the old dashboard.
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