Testing objects containing the Date field

I have a class with a method that Bill generates. I have a DateUtil component to create the date

public Bill generateBill(List<ProvidedItem> providedItems) {
    Bill bill = new Bill();

    Date date = dateUtil.now();

    bill.setStartDate(date);
    bill.setEndDate(dateUtil.plusDays(date, ConstantValues.DEFAULT_DURATION_BILL_DAYS));

    return billDao.saveOrUpdate(bill);
}

I have test for method generate Bill

@Test
public void generateBill_shouldCorrectlyGenerateBill() {
    Bill actualBill = billService.generateBill(actualProvidedItems);

    Date date = dateUtil.now();
    Bill expectedBill = BillMother.createTestInstanceWithAmount(sumProvidedItems, date, dateUtil.plusDays(date,
            ConstantValues.DEFAULT_DURATION_BILL_DAYS));

    Assert.assertThat(actualBill, is(expectedBill));
}

BillMother:

public static Bill createTestInstanceWithAmount(BigDecimal totalAmount, Date startDate, Date endDate) {
    Bill bill = new Bill();
    bill.setStartDate(startDate);
    bill.setEndDate(endDate);
    bill.setTotalAmount(totalAmount);
    return bill;
}

I have different objects because the date is called at another time.

I can't skip these dates in the Equals method because they are one of the most important parts of this object

How to make it work properly in this situation?