I'm not sure if the following is what you're looking for. This will allow you to input dates in E3 & E4. The formula in E5 will return the sum of the values in column B that are including and between these two dates in column A.
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[TD="align: center"]1[/TD]
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[TD="align: center"]2[/TD]
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[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FFC000]#FFC000[/URL] "]DATE RANGE[/TD]
[TD="align: center"]3[/TD]
[TD="align: right"]01/02/2019[/TD]
[TD="align: right"]10[/TD]
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[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FFC000]#FFC000[/URL] , align: center"]START[/TD]
[TD="align: center"]01/02/2019[/TD]
[TD="align: center"]4[/TD]
[TD="align: right"]02/02/2019[/TD]
[TD="align: right"]15[/TD]
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[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FFC000]#FFC000[/URL] , align: center"]END[/TD]
[TD="align: center"]09/02/2019[/TD]
[TD="align: center"]5[/TD]
[TD="align: right"]03/02/2019[/TD]
[TD="align: right"]20[/TD]
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[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FFC000]#FFC000[/URL] , align: center"]VALUE[/TD]
[TD="align: right"]140[/TD]
[TD="align: center"]6[/TD]
[TD="align: right"]04/02/2019[/TD]
[TD="align: right"]25[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]7[/TD]
[TD="align: right"]05/02/2019[/TD]
[TD="align: right"]20[/TD]
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[TD="align: center"]8[/TD]
[TD="align: right"]06/02/2019[/TD]
[TD="align: right"]20[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]9[/TD]
[TD="align: right"]07/02/2019[/TD]
[TD="align: right"]15[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]10[/TD]
[TD="align: right"]08/02/2019[/TD]
[TD="align: right"]10[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]11[/TD]
[TD="align: right"]09/02/2019[/TD]
[TD="align: right"]5[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]12[/TD]
[TD="align: right"]10/02/2019[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]13[/TD]
[TD="align: right"]11/02/2019[/TD]
[TD="align: right"]15[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]14[/TD]
[TD="align: right"]12/02/2019[/TD]
[TD="align: right"]20[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]15[/TD]
[TD="align: right"]13/02/2019[/TD]
[TD="align: right"]30[/TD]
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<thead>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=E0E0F0]#E0E0F0[/URL] "]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=E0E0F0]#E0E0F0[/URL] "]E5[/TH]
[TD="align: left"]=SUMIFS([COLOR=rgb(255]B3:B15,A3:A15,">="&E3,A3:A15,"<="&E4[/COLOR])[/TD]