It says in Vayikra Perek 17 Pasuk 13 (Parshas Achrei-Mos):
"וְאִישׁ אִישׁ מִבְּנֵי יִשְׂרָאֵל וּמִן הַגֵּר הַגָּר בְּתוֹכָם אֲשֶׁר יָצוּד צֵיד חַיָּה אוֹ עוֹף אֲשֶׁר יֵאָכֵל וְשָׁפַךְ אֶת דָּמוֹ וְכִסָּהוּ בֶּעָפָר"
And any man of the children of Israel or of the strangers who sojourn among them, who traps a quarry of a wild animal or bird that may be eaten, and sheds its blood, he shall cover it [the blood] with dust.
Rashi says there (See also Sifsei Chachamim):
אשר יצוד: אין לי אלא ציד, אווזין ותרנגולין מנין, תלמוד לומר ציד, מכל מקום. אם כן למה נאמר אשר יצוד, שלא יאכל בשר אלא בהזמנה הזאת
Who traps: [Had the verse stated only this phrase,] we would know only [that this law applies to] creatures that require trapping. But how would we know [that the law includes also] geese and roosters, [which do not require trapping]? Scripture, therefore, adds [the word] צֵיד -a quarry, meaning in any way [even if not trapped]. But if so, why is it stated, “who traps”? [To teach us] that one should not eat flesh except with this preparation, [meaning, that just as one does not go out to trap every day, neither should one eat meat regularly at all his meals, as if he had to go out and trap it]. — [Torath Kohanim 17:111; Chul. 84a]
While I don't think this Rashi is accepted "halacha l'maseh" however still, according to this what would be a possible "heter" (why is it permissible) for people now a days to eat meat or poultry on a regular basis? Or is the answer only going to be since we see this Rashi is not accepted l'halacha that we don't need to come up with a reason why one is allowed to eat lots of meat now a days.
(Text and Translation from Chabad.org)