PHP, 42 bytes

for(;($i+=2)*3.5-rand($i,$i*6);)echo"$i
";

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PHP , 45 bytes

Version with additional 2 dices to the dices before

for(;++$i*5/2-$d+=rand()%6;)$i%2?:print"$i
";

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PHP, 75 bytes

for($d=2;(++$i*7/2-$r+=rand(1,6))||$i<$d;)$i%$d?:$d+=1+print"$d
".$r=$i="";

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PHP, 45 bytes

for(;++$i*5/2-$d+=rand()%6;)$i%2?:print"$i
";

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PHP, 42 bytes

for(;($i+=2)*3.5-rand($i,$i*6);)echo"$i
";

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PHP , 45 bytes

Version with additional 2 dices to the dices before

for(;++$i*5/2-$d+=rand()%6;)$i%2?:print"$i
";

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PHP, 46 bytes

for(;7^2/++$i*$d+=rand(1,6);)$i%2?:print"$i
";

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PHP, 45 bytes

for(;++$i*5/2-$d+=rand()%6;)$i%2?:print"$i
";

Try it online!