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java - Compare Date objects with different levels of precision

I have a JUnit test that fails because the milliseconds are different. In this case I don't care about the milliseconds. How can I change the precision of the assert to ignore milliseconds (or any precision I would like it set to)?

Example of a failing assert that I would like to pass:

Date dateOne = new Date();
dateOne.setTime(61202516585000L);
Date dateTwo = new Date();
dateTwo.setTime(61202516585123L);
assertEquals(dateOne, dateTwo);
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Yet another workaround, I'd do it like this:

assertTrue("Dates aren't close enough to each other!", (date2.getTime() - date1.getTime()) < 1000);

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