Use of "that"...Part Deux

0Hi!02br
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00I am so glad this forum is available because I have searched high and low for the correct--perhaps "preferred" is more appropriate?-- way to write the sentences below. These sentences are scattered throughout a manuscript being prepared for submission to a scientific peer-reviewed journal. I have eliminated ("...") specific information in these sentences for brevity.02br
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00Might someone confirm whether it would be appropriate/preferred to omit the "that" in the following sentences and provide the rationale for each decision?02br
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00Thank you!!02br
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00Anne02br
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01i00Several studies have examined the level of health services in areas of high … morbidity and found 00that00 most facilities do not offer routine … screening.02i02br
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01i00Another key finding was00 that00 nearly half of the subjects were released within two days …02i02br
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01i00Most reported 00that00 no services are offered because subjects are transported elsewhere for services. 02i02br
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01i00The remainder of facilities indicated 00that 00services were not needed…02i02br
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01i00Most facilities reported 00that00 testing was available upon subject request or if …02i02br
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01i00Moreover, nearly 60% of the facilities surveyed reported 00that00 no ... services were provided…02i0-